Which expression is equivalent to (4g3h2k4)3

Which Expression Is Equivalent To (4g3h2k4)3

Answers

Answer 1

Answer:

d) [tex]8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

      [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]    [tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

Step-by-step explanation:

Explanation

Given expression

           =     [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

By using

        (ab)ⁿ = aⁿbⁿ

         [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]

   =     [tex]\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

After simplification , we get

  [tex]= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

 [tex]= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

[tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]


Related Questions

20. (01.03 MC)
What is the simplified expression
? (1 point)

Answers

Answer:

[tex]\displaystyle 3^2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{3^3 \cdot 3^3}{3^4}[/tex]

Step 2: Simplify

[ER] Multiply:                    [tex]\displaystyle \frac{3^{3+3}}{3^4}[/tex]Add Exponents:               [tex]\displaystyle \frac{3^6}{3^4}[/tex][ER] Divide:                      [tex]\displaystyle 3^{6 - 4}[/tex]Subtract Exponents:       [tex]\displaystyle 3^2[/tex]

Can someone help me solve for x and y of this?

Answers

Answer:

x = 10

y = 5

Step-by-step explanation:

Since, two lines p and q are the parallel lines and FA is a transversal line intersecting these parallel lines.

ΔAOB and ΔDOC are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of the similar triangles will be proportional.

[tex]\frac{AO}{OD}= \frac{OB}{OC}[/tex]

[tex]\frac{x}{15}= \frac{8}{12}[/tex]

x = [tex]\frac{15\times 8}{12}[/tex]

x = 10

Similarly, triangles AOB and OEF will be similar.

And by the property of similar triangles,

[tex]\frac{AO}{OF}= \frac{OB}{OE}[/tex]

[tex]\frac{x}{15+y}= \frac{8}{12+4}[/tex]

[tex]\frac{10}{15+y}= \frac{8}{16}[/tex]

8(15 + y) = 160

120 + 8y = 160

8y = 160 - 120

8y = 40

y = 5

Write an expression to match each phrase.
the quotient of 4 and e

Answers

Answer:

When you divide one number by another, the result is called the quotient. This is true for rational expressions too! When you divide one rational expression by another, the result is called the quotient.

g(x) = 2x² +16x+35
(a) Write the equation in the form g (x)= a (x - h)2 + k.

Answers

Answer:

The equation   g(x) = 2(x+4)² +3

 (h,k) = (-4,3) and a = 2

Step-by-step explanation:

Step(i):-

Given equation  g(x) = 2 x² + 16 x +35

                          g(x) = 2(x² +8 x ) +35

                         g(x) = 2(x² +2(4) (x ) +(4)² -(4)²)+35

we know that (a+b)² = a²+2ab+b²

Step(ii):-

                        g(x) = 2( x+4)² - 2(16) +35

               ⇒    g(x) = 2(x+4)²  - 32 +35

              ⇒     g(x) = 2(x+4)² +3

comparing     g(x) = a (x-h)² +k

         (h,k) = (-4,3) and a = 2

Final answer:-

The equation   g(x) = 2(x+4)² +3

 (h,k) = (-4,3) and a = 2

cos ( 3 x )

sin ( 3 x )

tan ( 3 x )

When ringing up a customer, a cashier needs 27 seconds to process payment as well as 3 seconds to scan each item being purchased. If it takes 45 seconds to ring up a customer, how many items are being purchased?

Answers

Answer:

There are 4 items being purchased

Help plz
For khan academy

Answers

Answer:

-18y =1

It is simple addition

Find the measure of the exterior angle.

Answers

Answer:

108 degrees

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle  = 108 degrees

Hence the measure of the exterior angle is 108 degrees

How does the graph of g(x) = 3X – 2 compare to the graph of f(x) = 3X?
The graph of g(x) is a translation of f(x) 2 units left.
The graph of g(x) is a translation of f(x) 2 units right.
O The graph of g(x) is a translation of f(x) 2 units up.
The graph of g(x) is a translation of f(x) 2 units down.

Answers

Using translation concepts, it is found that:

The graph of g(x) is a translation of f(x) 2 units down.

---------------------------------------------

Translating a function f(x) a units down is the same as finding f(x) - a.

---------------------------------------------

In this question:

[tex]f(x) = 3x[/tex][tex]g(x) = 3x - 2 = f(x) - 2[/tex]

Thus, g(x) is f(x) translated 2 units down, and the correct option is:

The graph of g(x) is a translation of f(x) 2 units down.

---------------------------------------------

At the end, the graph is given, with f(x) in red and g(x) in blue.

A similar problem is given at https://brainly.com/question/23901976

Answer:

simply fourth option.

Step-by-step explanation:

4. a. Write a story to represent the equation 15 ÷ 1/9 : _______. Solve the equation and complete the story.
b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help.

Answers

Answer:

4555

Step-by-step explanation:

32233x222213456765x345665434565

Write the equation of the line below. Please help

Answers

Step-by-step explanation:

The line is a vertical line of the form x = a, where a is a real constant.

Sincw the line passes through the point (-5, 0), the line equation is x = -5.

HELP
Given the equation,
y = 1/3x - 4, what is the slope and the y-intercept?

m= 4 and b= 1/3

m= -4 and b=1/3

m= 1/3 and b= 4

m= 1/3 and b= -4

Answers

Answer:

m = 1/3 and b = - 4

Step-by-step explanation:

The equation already gives the answer as the equation is in slope-intercept form.

[tex]y = mx + b[/tex]

Where m = slope and b = y-intercept.

From the equation —

[tex]y = \frac{1}{3} x - 4 \\ m = \frac{1}{ 3} \\ b = - 4[/tex]

Therefore, our slope is 1/3 and y-intercept is - 4.

How do i do these problems? please answer what you can

Answers

Answer:

5)85+63=148

180 is how much a reingle add up to so you do

180-148=32

x=32

6)the right angle means 90°

so 90+61=151

180-151=29

x=29

hope it helps

If 2.29 x 19.79 = 45.3191, then without actual multiplication the value of 0.0229 x 1979 is?

Answers

Answer:

The answer remains the same (45.3191)

Step-by-step explanation:

0.029 is 100 times smaller than 2.29 but 1979 is 100 times bigger than 19.79. The 100’s cancel each other out so the answer remains the same.

(((please answer asap!!))).

Answers

25 gallons!have a nice day

Answer:

25 gallons of water

Step-by-step explanation:

1 minute= 2.5 gallons

10 minutes = 2.5 x 10

= 25 gallons

pls help i don’t get it , ill mark brainlist

Answers

Answer:

2 Radical 50

Step-by-step explanation:

Now we need to reduce the 100,since 2 is not reducible its automatically goes outside the radical. To reduce the 100 we can multiply 50 times 2.You can see now that the 2 in the radical is also not reducible so that also has to go outside the radical. When you get two numbers that are alike you don't necessarily combine them but only use one of them.

What is the slope of the line with points A and B?




7/3


-7/3


-3/7


3/7

Answers

Answer:

3/7

Step-by-step explanation:

Answer:

it's 3/7 the guy/gal above me is correct, as is goes 3 up then 7 to the right and is positive

Step-by-step explanation:

triangle abc is an isosceles triangle in which ab=ac what is the perimeter of abc

Answers

Its aa-ad
I kongres mi milk IN fridge

Answer:

C. 10 + squareroot10 units

Step-by-step explanation:

Find the 37th term of the arithmetic sequence: -38,-8,22,52

Answers

Answer:

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30     (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30      (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

High School Advice Situation:
I am in Engineering 1 rn and I am a freshman and my semester 1 grade is a C and I am struggling, so I am thinking of withdrawing from my elective and go to a different elective which I know I can get an A+ in, but should I, because when I withdrawal I think it shows as an F. Help Please!

Answers

Step-by-step explanation:

Which do you enjoy the most?

Evaluate the expression (25)=​

Answers

Answer:

?? im really confused sorry i dont think you finished the question

What is the value of 4 + 23. 3? Show your work.​

Answers

Answer:

27.3

Step-by-step explanation:

    4

  23.3  +

  27.3

You can align the numbers over each other and simply add them.

4+ 23.3 = 27.4


23.3
+ 4
————-
27.3


You drop the 2 and the three and add 3+4

In a random sample of 145 people, 112 said that they watched educational TV. Find the 93% confidence interval of the true proportion of people who watched educational TV.

Answers

Answer:

The 93% confidence interval of the true proportion of people who watched educational TV

(0.73716 , 0.80684)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 145

A random sample of 145 people, 112 said that they watched educational TV.

Sample proportion

                         [tex]p^{-} = \frac{112}{145} = 0.772[/tex]

Step(ii):-

The 93% confidence interval of the true proportion of people who watched educational TV

[tex](p- Z_{0.07}\sqrt{\frac{pq}{n} } , p + Z_{0.07} \sqrt{\frac{pq}{n} } )[/tex]

[tex](0.772- 1.427\sqrt{\frac{0.772X0.228}{145} } , 0.772 + 1.427 \sqrt{\frac{0.772X0.228}{145} } )[/tex]

( 0.772 - 0.03484 , 0.772 + 0.03484)

(0.73716 , 0.80684)

Final answer:-

The 93% confidence interval of the true proportion of people who watched educational TV

(0.73716 , 0.80684)

Companies A and B produce phone chargers. Company A makes 15 phone chargers when Company B makes 20 phone chargers. When Company A makes 30 phone chargers, how many phone chargers does Company B make? Write your answers in the blanks.

Answers

Answer:

40

Step-by-step explanation:

1. The bill at a restaurant is $65.38. The waiter typically receives a 15% tip.
How much is the total bill?

Answers

Answer:

75.187 $

Step-by-step explanation:

I did it this way:

65.38$ : 100% = X : 115%

100X = 65.38 x 115

100X = 7518.7

X = 7518.7 ÷ 100

X = 75.187

Solve for a: b − 2a = c

Answers

Answer:

[tex]a=-\frac{c-b}{2}[/tex]

Step-by-step explanation:

Solving for the variable [tex]a[/tex], given that :

[tex]b-2a=c[/tex]

We can first start start by subtracting [tex]b[/tex] from both sides of the equation:

[tex]-2a=c-b[/tex]

Now, we can divide both sides of the equation by the coefficient of [tex]a[/tex], which would be [tex]-2[/tex]:

[tex]a=\frac{c}{-2}-\frac{b}{-2}[/tex]

Applying the fraction rule [tex]\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}[/tex]:

[tex]a=\frac{c-b}{-2}[/tex]

Then, apply the fraction rule [tex]\frac{a}{-b} =-\frac{a}{b}[/tex]

[tex]a=-\frac{c-b}{2}[/tex]

what is the measurement of 40.382052 degrees in minutes, degrees and seconds

Answers

40 degrees
22 minutes
55.39 seconds

Answer:

40 degrees

22 min's

55.39 sec's

Step-by-step explanation:

in the problem find m<1​

Answers

Answer:

m∠1 = 124°

Step-by-step explanation:

If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°.  Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.

30-60-90 please help me find the long side and short side Urgent

Answers

Answer:

just download conects

Step-by-step explanation:

If the measure of ABC is 57º, what is the measure of AB?

Answers

Answer:

114°

Step-by-step explanation:

The measure of an arc is double the measure of the angle between the chord and the tangent line.

Consider functions mand n.
mix)
m
4
X
3
2
4
1
-5
-3 -1
3
3
or
5
n() 2
1
- 3
1.50
What is the value of xwhen (m o n) (+) = 2
A. -1.5
B. 0
ОО
C.
-3
D. 3

Answers

Answer:

c. -3

Step-by-step explanation:

just took the test ;)

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