Are there concepts/processes to strictly follow in writing radicals as expressions with rational exponents?

Answers

Answer 1

Answer:

The concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Step-by-step explanation:

Consider the provided information.

The following property can be used to rewrite each radical as an exponent.

The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.

[tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex]

For example:

[tex](27)^{\frac{2}{3}}=(\sqrt[3]{27})^2[/tex]

[tex](27)^{\frac{2}{3}}=(3)^2[/tex]

[tex](27)^{\frac{2}{3}}=9[/tex]

Hence, the concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].


Related Questions

How can you tell the difference between a strong linear association and a weak linear association?

Answers

I think it’s A for some reason

will give brainliest !please help

4b+7b+5​

Answers

Answer:

Terms = 4b , 7b , 5

coefficient = 4 , 7

constant = 5

Step-by-step explanation:

Please look at this picture because inside there have explain about your questions,,,and hope you understand ☺️

Fine c. Round to the nearest tenth

Answers

Answer:

14.9

if you need it

side a is 24.04867

9514 1404 393

Answer:

  c ≈ 14.9 cm

Step-by-step explanation:

I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...

  C = 180° -150° -12° = 18°

Then the law of sines tells us ...

  c/sin(C) = b/sin(B)

  c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)

  c ≈ 14.9 cm

The sun’s mass is 1.998 * 10^30 kg. Saturn’d mass is 5.69 * 10^26 kg. How many times as great as the mass of Saturn is the mass of the sun? Show your work using scientific notation

Answers

Answer: The mass of the sun is 3.51 x 10^3 times greater.

Step-by-step explanation:

X= Mass of Sun/ Mass of Saturn

X= 1.998 x 10^30 / 5.69 x 10^26

1.998/ 5.69 = .351

10^30 / 10^26 = 10^4

You want to move the decimal a value so you would subtract 1 from 4

3.51 x 10^3

The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.

What is division?

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The sun’s mass is [tex]1.998 * 10^{30}[/tex] kg.

Saturn's mass is [tex]5.69 * 10^{26}[/tex] kg.

Let the mass of the Sun be X times more than the mass of the Saturn mass.

The equation that can be written as

1.998 × 10³⁰ = X × 5.69 × 10²⁶

On simplifying, the value f X will be

[tex]\rm X = \dfrac{1.998 * 10^{30}}{5.69*10^{26}}\\\\X = 3511.42 \\\\X = 3.511 * 10^3[/tex]

The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.

More about the division link is given below.

https://brainly.com/question/369266

. Eleanor earns $9.00 per hour. She worked 37 hours from Monday to Friday. What were her total wages?

Answers

Answer:

$333

Step-by-step explanation:

As, the total hours Eleanor works = 37

And per hour he gets = $9

So the total wage her gets = $9 x 37

= $333

(10x^2+3x+9)+(5x^2+x+4) (10x 2 +3x+9)+(5x 2 +x+4)

Answers

Answer:

50x^4 +25x^3 +103x^2 +25x +49

HELP ITS DUE TODAY! photo attached.

Answers

Answer:

360 for first place and 240 for second

Step-by-step explanation:

Let's say f is the first place prize, and s is the second prize.

Amaal: 4f + 2s = 1920

Brian: f + 3s = 1080

Now we can isolate and substitute.

f = 1080 - 3s

4(1080 - 3s) + 2s = 1920

4320 - 12s + 2s = 1920

10s = 4320 - 1920

10s = 2400

s = 240

f = 1080 - 3*240

 = 1080 - 720

 = 360

A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?

Answers

Answer:

4

Step-by-step explanation:

(?*11)-10=34

(?*11)=34+10

(?*11)=44

44/11= 4

Does anyone know what 98x1892 is? I’m to lazy to solve and my head hurts sooo bad please help! And we can’t use calculators we have to have our cams on !

Answers

Answer:

Step-by-step explanation:

185416

Answer:

185,416 this is the answerr

Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?

There are y–values which are not paired with an x–value.
There are x–values which are not paired with a y–value.
There are y–values which are paired with multiple x–values.
There are x–values which are paired with multiple y–values.

Answers

Answer:

C: There are y-values paried with many x

Step-by-step explanation:

Which equation best represents the line? (4 points)

a
y = 1 over 3.x − 1

b
y = 3x − 1

c
y = −x + 1 over 3.

d
y = 3x + 1

Answers

Answer:

The equation of the line is y = 3x - 1b

Step-by-step explanation:

From the given graph

∵ The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

∵ (x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (0, -1) and (1, 2)

x1 = 0 and y1 = -1

x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope to find it.

∵ m = [tex]\frac{2--1}{1-0}[/tex] = [tex]\frac{2+1}{1}[/tex] = [tex]\frac{3}{1}[/tex]

m = 3

∵ The line intersects the y-axis at point (0, -1)

The y-intercept = -1

∵ The form of the equation of the line is y = m x + b

∵ b is the y-intercept

b = -1

→ Substitute the values of m and b in the form of the equation

∵ y = 3x + -1

y = 3x - 1

The equation of the line is y = 3x - 1

In a paint factory, an old conveyer line has filled 12 barrels of paint, and is filling more at a rate of 4 barrels per minute. A worker just switched on a newer line that can fill 10 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How long will that take? How many barrels will each line have filled?

Answers

Answer:

Take 2 minutesEach line would have filled 20 barrels

Step-by-step explanation:

First line is filling at 4 barrels a minute and has already filled 12

Second line is filling at 10 barrels a minute.

Assume the time taken to be equal is x:

12 + 4x = 10x

12 = 10x - 4x

6x = 12

x = 12/6

x = 2 minutes

Each barrel would have filled:

= 10x

= 10 * 2

= 20 barrels

1. Determine the missing value in this table of values for the function y = 2
y = 24
0.5
-1
0
1
2

Answers

Answer:

-1

Step-by-step explanation:

Ghana is a great place to work for and it is the most versatile and affordable way to do business with you in the future of the following statements is of a hole in your heart to be added

please help me do this!
both questions!​

Answers

question a is 48 i think! because if you do 12 x how many side there are. it’s 4 so 12 x 4

Answer:

b) The height of the pyramid is 9.8 cm. what is the volume of the pyramid

Step-by-step explanation:

There are 15 boys and 45 girls competing in a race. What is the ratio of girls to boys in the race , lowest terms ?

Answers

Answer =  3:1

==========================================

Work Shown

45 girls : 15 boys

45/15 girls : 15/15 boys .... divide both parts by 15

3 girls : 1 boy

This tells us there are three times as many girls as there are boys.

We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.

any one pls helpp! i dont understand this???

Answers

Answer:

X= 10, 20, 30, 40, 50, 60

Step-by-step explanation:thats

thats all i know

For y it goes by +3.5 which goes 3.5,7,10.5,14,17.5,21

What are the zeros of this function?

A. x = -6 and x = -4

B. x = 0 and x = 4

C. x = -6 and x = 5

D. x = 4 and x = 6

Answers

Answer:

D. x=4 and x=6 (A P E X)

The age and hourly pay of five employees at a store are shown in the table.

Age
Hourly Pay
($)
16
10
18
10.25
18
12.50
20
14
22
15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year

Answers

Answer: I think its $18.00

Step-by-step explanation:

0.9*25-4.5= 18

The average athlete is able to begin activity 90 days after having a knee operation. The standard deviation is 20 days. Sixty-eight percent of athletes are able to participate within how many days? Round to the nearest day.

Answers

Answer:

99

Step-by-step explanation:

The mean = 90 days

standard deviation = 20 days

P(Z < z) = 68 %

getting the value of z-score from the standard normal table of 0.68

z = 0.47

P(Z < 0.47) = 0.47 * 20 + 90 = 99

does anybody know how to get the 3rd mark ?

Answers

Answer:

Long sides are 1.4 and short sides are 0.7

Step-by-step explanation:

The perimeter of a rectangular parking lot is 332 m.
If the length of the parking lot is 95 m, what is its width

Answers

Width would be 76m...

A right triangle has side lengths a, b, and c as shown below.
Use these lengths to find sinx, tanx, and cosx.
Help plsss

Answers

Answer:

Step-by-step explanation:

The value of sinx=c/b, cosx=a/b and tanx=c/a.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, a right triangle has side lengths a, b, and c.

We know that, sinθ=Perpendicular/Hypotenuse, cosθ=Base/Hypotenuse and tanθ=Perpendicular/Bse

From the figure,

sinx=c/b, cosx=a/b and tanx=c/a

Therefore, the value of sinx=c/b, cosx=a/b and tanx=c/a.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ2

Which equation has the correct sign on the product
Please help me with this question I would will appreciate.

Answers

Answer:

B

Step-by-step explanation:

B since a negative and a positive makes a negative. (plz give me brainliest)

A store used to sell an MP3 for $72which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?

Answers

Answer:

$115.2

Step-by-step explanation:

Step one:

Given data

A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.

Therefore the wholesale price is

72*2= $144

Required:

The special sales cost at 20% discount

Step two:

We are told that the special sale is at a 20% discount on the wholesale

= 20/100*144

=0.2*144

=$28.8

Therefore the special sales price is

= 144-28.8

=$115.2

Please help this is due soon!
x+8≥9
Please graph solution on a piece of paper and take a picture.

Answers

Answer:Right?

-> 1-10

Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.
(Use the letter x to represent the variable.).

Answers

Step-by-step explanation:

Factor Theorem:

"If a is a root of a polynomial, (x - a) is a zero of the polynomial."

Therefore by Factor Theorem,

we have (x - 1)(x + 3) = x² + 2x - 3.

Bryan and Yuan started out at their houses and are biking towards each other. Bryan started
out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?

Answers

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Tuesday's high temperature was 25 °F. The temperature dropped
by 30 °F overnight. What direction on the number line is this?

Answers

Answer:

up and down

oiguddyzyhc uvkikvcuydtx I u guys and all that you can g

A rectangle has an area of 6x^(2) + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?

A. 2x + 3
B. 5x - 2
C. 10x + 4
D. 20x + 8

Answers

Answer:

Erm

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

hope this helps

Give the domain and range.

On a coordinate plane, points are at (negative 3, 3), (0, 0), and (3, 3).
a.
domain: {3, 0, 3}, range: {3, 0}
b.
domain: {–3, 0, 3}, range: {0, 3}
c.
domain: {3, 0, 3}, range: {–3, 0}
d.
domain: {3, 0, 3}, range: {0, 3}

Answers

Answer:

domain:(-3,0,3),range:(0,3)

The domain and range of the coordinate points (- 3, 3), (0, 0), and (3, 3)

are b. domain: {-3, 0, 3}, range: {0, 3}

What is the domain and range of a function?

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

Given, A set of domains and ranges in roaster form the points(x, y) are

are at (- 3, 3), (0, 0), and (3, 3).

Now we know the domain is the set of all x values.

∴ domain {- 3, 0, 3}.

The range of the set are the set of all y values they are,

{0, 3} and co-domain is {3, 0, 3}.

learn more about the domain and range a function here :

https://brainly.com/question/28135761

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