Which expression is equivalent to (5x−5y3)−2? −25x10y6 negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity 1 over quantity 25 times x raised to the tenth power times y raised to the sixth power end quantity

Answers

Answer 1

Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

Learn more about rules of exponents here: brainly.com/question/11975096

#SPJ4


Related Questions

Solving a Real-World Problem Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of fat?​

Answers

Answer:4/ 1/5=20 or 4/.20=20

Step-by-step explanation: brainliest?

help plsssssssssss tyyy

Answers

Answer:

Associative property of addition!

Step-by-step explanation:

You have to add the numbers a lot!!

Commutative property is the answer Bec of addition says that the change in order of numbers in addition will not change the result.

Therefore, for variable x and y the commutative property of addition is x+y=y+x.

Which percent of increase is greater: the percent of increase for the perimeter of the square or the percent of increase for the area? How much greater?

Answers

Based on the information, the percentage increase for the area s greater as it is 600% greater

How to illustrate the information?

Here, we have a square of side length 3 cm

The area of the square is 3² = 9 cm²

Perimeter of the square = 4L = 4 * 3 = 12 cm

When we triple the length of the square, its new length becomes 3 ,× 3 = 9 cm

Area here will be 9 * 9 = 81 cm²

Perimeter = 4 L = 4 * 9 = 36cm

To calculate percentage change, we use the formula;

(new value - old value)/old value * 100%

For the perimeter;

(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%

For the area;

(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%

The percentage increase of the area is greater by: 800% - 200% = 600%

Learn more about percentages on:

https://brainly.com/question/843074

#SPJ1

The side length of the square shown is tripled.

3 cm

Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area

Simplify the expression. (3.65u − 11) − (−5 + 8.7u)

Answers

The expression is simplified to  -5. 05u - 6

What is an algebraic expression?

An algebraic expression can be defined as a mathematical expression made up variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

AdditionMultiplicationDivisionBracketParenthesesSubstraction, etc

From the information given, we have the expression;

(3.65u − 11) − (−5 + 8.7u)

Now, expand the bracket, we get;

3. 65u - 11 + 5 - 8. 7u

collect like terms

3. 65u - 8. 7u - 11 + 5

Add/substract the values

-5. 05u - 6

Hence, the expression is -5. 05u - 6

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Please helpppppp now ASAP

Answers

Answer:

units 6.0 I think good luck brother

Solve for x and graph the solution on the number line. If possible, resolve your answer to a single inequality. In case of no solution leave the number line blank.
22>=-3x+7 and -3x + 7 >-17

Answers

The solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x  < 8

What is a number line?

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

How to plot the number line?

The expression is given as

22 >= -3x + 7 and -3x + 7 >-17

The above expression is an inequality expression

As a general rule:

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

So, we have

22 >= -3x + 7 and -3x + 7 >-17

Evaluate the like terms

15 >= -3x  and -3x  >-24

Divide through by -3

So, we have

-5 <= x  and x  < 8

Combine the expressions

-5 <= x < 8

Hence, the solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x  < 8

See attachment for the number line

Read more about number line at

brainly.com/question/24644930

#SPJ1

-8/2x-5/ = 16
slash is absolute value

Answers

Answer:

No solution

Step-by-step explanation:

-8l2x -5l =16  When I divide both sides by -8

l2x - 5l = -2

The absolute value cannot equal a negative number.


Find the real and imaginary solutions of each equation.
25 x⁴-40 x²+16=0

Answers

The equation only has real solutions, x = 2/√5  and x = –2/√5

Let p = x².

Then we can write 25 x⁴-40 x²+16 = 0 as:

25 p²- 40 p +16 = 0

This is a quadratic equation.

There are three ways to find the solutions of a quadratic equation:

By factoringBy completing the squareBy applying the quadratic formula

Let us factoring method.

25 p²- 40 p +16 = 0

(5p - 4)(5p - 4) = 0

Hence 25 p²- 40 p +16 = 0 only has single real solution:

5p - 4 = 0

5p = 4

p = 4/5

Substitute p = 4/5 into p = x², we get:

x² = 4/5

x = ± √(4/5)

The solutions are x = 2/√5  and x = –2/√5

Learn more about the solutions of quadratic equations here:

https://brainly.com/question/19247384

#SPJ4

HELP MEEE plsssssss

Answers

Answer:

18.84 inches

Step-by-step explanation:

Use the formula.

2πr

Use 3.14 for π.

Use 3 for r.

2(3.14)(3)

Multiply.

2(3.14)(3)=18.84

Hope this helps!

Please mark as brainliest if correct!

18 is what fraction of 144?

Answers

Answer:

1/8

Step-by-step explanation:

144 ÷ 18 = 8

so, it 1/8

Can someone Graph > 2

Answers

do 7 x for and you will not have any changes to your memories of your own and the fact of life that I am sure

The first graph in the right would be the right answer

HELP IMMEDIATELY PLEASE

use the couple of lines for #4

Answers

Answer:

#2 Alternate interior angles: 4 & 5 and 3 and 6

#4 :

m∠6 = 55°

m∠3 = 55°

m∠1 = 125°

Reasons: See below

Step-by-step explanation:

Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.

So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°

Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°

Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°

Find the inverse of each function. Is the inverse a function? f(x)=(x+3)²+1

Answers

Inverse of the given function F(x) = ( x + 3 )² + 1 is F⁻¹(x) = [√( x - 1 ) ] - 3

Given is a function of x, F(x) = ( x + 3 )² + 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 3 )² + 1 becomes y =  ( x + 3 )² + 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = 3 x³- 4, we get

x =  ( y + 3 )² + 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 3 )² + 1

=> x + 1 =   (y + 3 )²

=> (y + 3 )² = x + 1

=> y = √( x - 1 )  - 3

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y =√( x - 1 ) - 3 becomes F⁻¹(x) = √( x - 1 )  - 3

Therefore, we get the inverse of the given function F(x) = ( x + 3 )² + 1 as F⁻¹(x) = √( x - 1 )  - 3

Learn more about Inverse of a Function here:

https://brainly.com/question/2541698?referrer=searchResults

#SPJ9

Which two integers is 37 between?

Answers

Integers are positive and negative whole number digits, where the set of integers is denoted by capital Z.

Z={-n,...,-2,-1,0,1,2,...,36,37,38,39,...,n}

So 37 is in between 36 and 38

7. Solve the formula A = 1/2bh
for b. Justly each step. Then find the base of a triangle whose
area is 952 square feet and whose height is 56 feet.

Answers

The formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The formula A = 1/2bh

It is required to solve for b:

2A = bh

b = 2A/h

Plug A = 952 square feet

h = 56 feet

b = 2(952)/56

b = 34 feet

Thus, the formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

A graph titled Customer Rewards. The horizontal axis shows ounces of yogurt purchased, numbered 2 to 22, and the vertical axis shows Total Spent (dollars) numbered 1 to 11. A line begins at 0, extends to 5 dollars spent at 10 to 12 ounces, and ends at 9 dollars spent at 20 ounces.

Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?

Answers

The required statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt is earns 2 free ounces.

What is a statement?

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The horizontal axis shows ounces of yogurt purchased, numbered 2 to 22, and the vertical axis shows Total Spent (dollars) numbered 1 to 11.\

A line begins at 0, extends to 5 dollars spent at 10 to 12 ounces, and ends at 9 dollars spent at 20 ounces.

According to given question we have

In the analysis of the given options, the most likely answer to this question is A rewards customer earns 2 free ounces of yogurt because total amount paid for 10 ounces and 12 ounces is the same.

Also 9 dollars spent at 20 ounces.

Therefore, the required statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt is earns 2 free ounces.

Learn more details about statement here:

https://brainly.com/question/2285414

#SPJ1

Answer:

A

Step-by-step explanation:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Estimate the product of
882
×
39
.
A.
2,400

B.
3,600

C.
36,000

D.
40,000

Answers

Answer: C. 36,000

Step-by-step explanation:

Answer:

Your answer should be about 36,000

Step-by-step explanation:

You can kind of already eliminate A. the real answer should be around 34 to 35 thousan and it is the nearest to the options that you have

hope this helps

Felipe has a business where he builds and sells birdhouses. To build 12 birdhouses, he needs \large 5\frac{1}{4} meters of wood. During the holiday season, Felipe was asked to make \large 4\frac{1}{2} times the number of birdhouses he usually makes. How many meters of wood does Felipe need to make that many birdhouses?

Answers

Based on the number of birdhouses that Felipe has to build in the holiday season, the meters of wood that Felipe needs would be 23 ⁵/₈ meters

How many meters of wood are needed?

First, find out the number of birdhouses Felipe needs to make:

= Normal number of birdhouses x Increase in holiday season

= 12 x 4¹/₂

= 54 birdhouses

The meters of wood he needs are:

= Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes

= 54 / 12 x 5¹/₄

= 23 ⁵/₈ meters

Find out more on solving for quantities needed at https://brainly.com/question/2740942

#SPJ1


What is the rational expression in simplest form? State any restrictions on the variables.
c. 12-4 x / x²-9}

Answers

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = [tex]\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}[/tex]

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = [tex]\frac{-4}{(x+3)}[/tex]

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is [tex]\frac{-4}{(x+3)}[/tex]

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

https://brainly.com/question/1280754

#SPJ4

The temperature in the late afternoon was -7.5 Celsius. It dropped 8.5 degrees by midnight. What was the temperature at midnight?

Answers

The answer to the question is T= - 7.5°C - 8.5°C = -16°C

The initial temperature in the late afternoon was -7.5°C.

It  dropped by 8.5 degrees by midnight.

Change in temperature (in midnight) = -8.5°

Here negative sign represents the decrease in the temperature

.Let T be the total change in the temperature.

So, total change in the temperature is T =  - 8.5°C 

Therefore the required temperature in the midnight =temperature in late afternoon+the temperature dropped in night.

Final temperature at night =-7.5°C-8.5°C=-16°C

Learn more about Temperature change here:https://brainly.com/question/13315138

#SPJ9

What might the creator of this graph want the reader to conclude?


ANSWER FOR BRAINLIEST PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The car dealers business is expanding very rapidly

James is looking at rectangular pools. He wants to calculate the volume of water in each pool.

Which pool will hold more water: a pool with dimensions 6 feet deep by 11 feet by 11 feet, or a pool with dimensions 2 yards deep by 3 yards by 5 yards?



Responses

The pool with dimensions 6 feet by 11 feet by 11 feet will hold more water.
The pool with dimensions 6 feet by 11 feet by 11 feet will hold more water.

It cannot be determined from the given information.
It cannot be determined from the given information.

Both pools hold the same amount of water.
Both pools hold the same amount of water.

The pool with dimensions 2 yards by 3 yards by 5 yards will hold more water.
The pool with dimensions 2 yards by 3 yards by 5 yards will hold more water.

Answers

Answer:

2 yards by 3 yards by 5 yards

Step-by-step explanation:

6 times 11 times 11 = 726

3(2*3*5) = 6*9*15 = 810

*Please mark brainliest answer


Expand each logarithm.
log x³ y⁵

Answers

The answer to this question is: og(x³y⁵) = 3log(x) + 5log(y)

In mathematics, the logarithm is that the function to exponentiation. which means the logarithm of a given number x is that the exponent to which another fixed number, the base b, must be raised, to supply that number x. within the simplest case, the logarithm counts the amount of occurrences of the identical consider repeated multiplication

To solve this question, we need only 2 identities, i.e.,

log(a*b) = log(a) + log(b)   ...(1)

log(aⁿ) = nlog(a)                ...(2)

Using 1, we can expand log x³ y⁵ as: log x³ y⁵ = log(x³) + log(y⁵)       ...(3)

Using 2, we can expand both the terms as: log(x³) = 3log(x)log(y⁵) = 5log(y)

Putting them in equation 3, we get:3log(x) +5log(y)

Therefore, log(x³y⁵) = 3log(x) + 5log(y)

Learn more about Logarithm here: https://brainly.com/question/28041634

#SPJ4

Lincoln conducted a scientific experiment. For a certain time, the temperature of a compound rose 3\tfrac{1}{2}3
2
1

degrees every 1\tfrac{3}{4}1
4
3

hours. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answers

The rate at which the temperature of the compound rose is 2 degree per hour.

To figure this problem we will use unitary method where unitary method is a method where we find the value of the single unit and then multiply the value of single unit to the number of units to get the necessary value.

But according to the question we have find the value of only single unit.

Therefore we have been given that

     every [tex]1\frac{3}{4}[/tex] hours = temperature of compound rose [tex]3\frac{1}{2}[/tex] degrees

Now applying unitary method we get,

         [tex]1\frac{3}{4} = 3\frac{1}{2} \\\\ \frac{7}{4} = \frac{7}{2} \\\\ 1 = \frac{7}{2} /\frac{7}{4}[/tex]

            = 2 degrees per hour

Hence the rate that the temperature of the compound rose is 2 degree per hour.

Learn more about unitary method here : https://brainly.com/question/24587372

#SPJ9

Determine whether the relation is a function. Explain.

Answers

The relation (x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)} is a function

How to determine whether the relation is a function?

The relation is given as

(x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)}

As a general rule:

A relation that is considered to be a function is any relation whereby the elements of the domain has exactly one element of the range.

This means that an x value must have exactly one y value

Using the above as a guide, we can conclude that the relation (x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)} is a function

Read more about relation and functions at

https://brainly.com/question/6947174

#SPJ1

Possible question

Determine whether the relation is a function. Explain.

(x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)}

One angle of a right traingle measures 40 .what is the measure of the acute angle

Answers

Answer:

50 degrees

Step-by-step explanation:

let's take the triangle to be right angled at b

so b=90                           1                

and c=40 (assumption)   2

so a+b+c=180(angle sum property)

from 1 and 2

a+90+40=180

a=180-130

therefore a=50

Answer:

50

Step-by-step explanation:

90= right side

40= acute side

180 - (90+ 40)= 50.

Lisa is four years younger than her sister. Which expression below stands for the sum of Lisa’s age and her sister’s age? (if you see this question pls answer) ty!

None of these
(x − 4) − x
x − (x − 4)
(x + 4) − x

Answers

Answer:

i say it would be "None of these"

Step-by-step explanation:

because say x=sisters age so, x=12     if lisa if 4 years youger, than x-4=8    (x-4)-x=(-2)      x-(x-4)=4      (x+4)-x=4    so therefore it would be none.

Answer:

none of these

Step-by-step explanation:

because we don't know her sisters age we'll use "x" and Lisa is 4 years younger so you deduct 4 from x and the equation will be '4-x'

Write the equation for a vertical line that passes through:
(5,-3).

Answers

Answer:

In the image above

Step-by-step explanation:

Vertical line: A vertical line is a collection of points whose x -coordinate is the same for any y -coordinate. The equation of a vertical line is given by: x=c where c is a real number.

Check the picture below.

Erica has $89. She is saving up for a new game system. If she saves $8 per week, how much money will she have after 20 weeks?

Answers

$8 times 20 weeks=$160

$160+$89=$249

Im not sure whether the question wants you to add on the $89 or not,but its up to you.

4<-9.9-(-10x+1) solve for x

Answers

Step-by-Step:

___________

1. We are given the following:

[tex]4 < -9.9-(-10x+1)[/tex]

This being said, the first thing we need to do is switch sides, writing it as follows:

[tex]-9.9-(-10x+1) > 4[/tex]

___________

2. Next, we need to add 9.9 to both sides of the equation.

[tex]-9.9-(-10x+1)+9.9 > 4+9.9[/tex]

___________

3. Then, we simplify.

[tex]-(-10x+1) > 13.9[/tex]

____________

4. Now, we add 1 to both sides of the equation.

[tex]10x-1+1 > 13.9+1[/tex]

____________

5. We simplify again.

[tex]10x > 14.9[/tex]

____________

6. Next, we divide both sides by 10.

[tex]\frac{10x}{10} > \frac{14.9}{10}[/tex]

____________

7. Finally, simplify one more time.

[tex]x > 1.49[/tex]

Hence, out solution is [tex]x > 1.49[/tex]

Hope this helps!

Other Questions
solve each system of inequalities and indicate any three solutions. x-0.8 many immigrants moved to avoid forced ____, which in some nations would last for many yearsAmerican history 1900's The earliest polyphonic music, which grew out of the custom of adding a second voice to an existing chant melody at a different interval, was called:_____. the nurse is working with a client who is following a low-protein predialysis diet to delay the progression of nondiabetic renal disease. the client weighs 100 kilograms and is working to control hypertension. how many grams of protein should the client consume per day? The following list has a mean of 24.What would be the new mean if 17 wasadded to the list?12, 30, 19, 27, 21, 35 The coordinate 6 has a weight of 2, the coordinate 9has a weight of 2, and the coordinate 15 has a weightof 1. Find the weighted average. Write each expression in simplest form. (x/ ) Mathematical equation - What is -3 x 5/9? If the average speed of a water molecule at 25c is 640 m/s, what is the average speed at 100c?. A person who has reached their full potential has likely achived The following question is based on your reading of Heart of Darkness by Joseph Conrad.The Company is:a.Englishc.Dutchb.Frenchd.BelgianPlease select the best answer from the choices providedABCD Which of these was NOT an organization representing the interests of 19th centuryfarmers?A. the Populist PartyB. the Farmer's AllianceC. the Gold System PartyD. The Grange Solve the equation 5k^220k=15 . Present exact values of the solutions. If there are more than one solutions, separate them by a comma. A family spends 3/7 of their monthly incomeon food,5/14on clothing and 1/5on rent.What fraction of the family's income isspent on other things? If in a particularmonth, the family spends GH&2,400 onother things, how much did the familyspend on clothing? What was the family'sincome for the month. ANSWER QUICKwhat traditional economic role did women in early civilization usually fulfillA- Taking care of the household B Designing and building architectureC Buying and selling goods abroad D Farming and cultivating the land What is 25.9 rounded to the nearest whole number? Describe Thomson's experiments for the atom Sep 26, 8:04:36 AMWatch help videFor a given recipe, 24 cups of flour are mixed with 16 cups of sugar. Howmany cups of flour should be used if 14 cups of sugar are used?Assuming a constant ratio, fill out the table i need help, i cant understand the steps to get it to where it needs to be. Simplify each number. 25/