8.Rewrite the expression using rational exponents.

8.Rewrite The Expression Using Rational Exponents.

Answers

Answer 1

Answer:

Option B is the correct option.

Step-by-step explanation:

Given the expression

[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}[/tex]

Apply radical rule:

[tex]\frac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\frac{a}{b}}[/tex]

so

[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}=\sqrt[3]{\frac{x^5}{x^7}}[/tex]

Apply radical rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

so

   [tex]=\sqrt[3]{\frac{1}{x^2}}[/tex]         ∵  [tex]\frac{x^5}{x^7}=x^{5-7}[/tex]

   [tex]=\frac{1}{x^{\frac{2}{3}}}[/tex]

Therefore, option B is the correct option.


Related Questions

Can you help order the numbers from least to greatest?​

Answers

Answer:

1, 4, 3, 2 (from left to right)

Step-by-step explanation:

The order is 1, 4, 3, 2. Hope this helps :)

Please help someone
Is 8 - 2x equal to 10x + 3? Solve and say if they are equal to each other.

Answers

Answer:

No I don’t think they are

Step-by-step explanation:

Because when you solve them their different

JJ has two dogs. The combined weight of the two dogs is 60lbs. The larger
dog is twice the weight of the smaller dog.

Answers

Answer:

The larger dog weighs 40 pounds and the smaller dog weighs 20 pounds

Step-by-step explanation:

I need help with Geometry

Answers

Answer: B

Step-by-step explanation:

Answer:

The answer is B. because it matches up with whats written up top

A cell phone company charges a flat rate of $4.75 per month, with an additional charge of $0.19 per minute. How many minutes did Alexandra talk on her cell phone if her monthly bill was $27.55?

Answers

she talked on the phone for 145 mins

Guy took out a 10-year loan for $63,000 at an APR of 10.9%, compounded
monthly, while Wilber took out a 10-year loan for $78,000 at an APR of 10.9%,
compounded monthly. Who would save more by paying off his loan 8 years
early?

Answers

Answer: Wilber would save more, because he borrowed $15,000 more in principal.

Step-by-step explanation:

Answer:

Answer: Wilber would save more, because he borrowed $15,000 more in principle.

Step-by-step explanation:

what does is the c ? c + 13 = -17

Answers

Step-by-step explanation:

c + 13 = - 17

c = - 17 - 13

Therefore c = -30

Hope it will help :)

Answer:

c is equal to negative thirty.

Step-by-step explanation:

You can find out what c is by subtracting 13 from both sides of the equation:

c + 13 = -17

c + 13 - 13 = -17 - 13

c + 0 = -30

c = -30

please help this is due soon! its timed and im scared

Answers

Answer: 1000(1.05)^X or C

Step-by-step explanation: F(x) = a(1+r)^X

A = Initial amount, which is 1000

r = growth rate, which is .05, and you add 1 to that

So it's 1000(1.05)^X

GOOD LUCK!! :D

Can you help me please!!

Answers

answer should be b :))))

Answer:

Its c

Step-by-step explanation:

If you add all of the amounts of paint that he has you will get 1 1/30

Hope this Helps!!!

what is 14 + b = 4.5

PLEASE HURRY

Answers

Answer:

-9.5

Step-by-step explanation:

14+b=4.5

b=-9.5

b= -9.5 .................

BRAINLIEST. PLEASE ANSWER

Answers

Answer:

a). Distance round one loop = 141.37 meters

b). Distance covered = 3534.29 meters

Step-by-step explanation:

Diameter of the given track = 45 meters

a). Distance round one loop of the track = circumference of the circle

    Circumference of a circle = π × (Diameter)

                                               = π × (45)

                                               = 141.37 meters

b). Distance covered by going around the track 25 times = 25 × distance in one loop of the track

    = 25 × 141.37

    = 3534.29 meters

456 - 9099 divided by 56

Answers

Answer:

293.5

Step-by-step explanation:

Harry Potter RP!!

https://brainly.com/question/20615441


Please help me with the questions

Answers

Step-by-step explanation:

length x or opposite will be 12.6

Answer:

x = 13

Step-by-step explanation:

Right Triangles

In a right triangle, there is an internal angle of 90°. The other two must add up to 90°.

The trigonometric ratios are satisfied in a right triangle. The tangent ratio, for example, is defined as:

[tex]\displaystyle \tan 35^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The angle of 35° is adjacent to the side of length 18 and is opposite to the side of length x, thus:

[tex]\displaystyle \tan 35^\circ=\frac{x}{18}[/tex]

Solving for x:

[tex]x=18\tan 35^\circ[/tex]

This is the equation to solve. Now substitute the tangent for its value to get

x = 13

HELP PLEASE! Thank you!

Answers

Answer:

1. First choice

2. Image C

3. Fourth chioice

4. Third choice

5. First choice.

Step-by-step explanation:

First Screenshot

Solve the equation.

[tex] {x}^{2} - 9 = 0[/tex]

Use the difference of two squares formula.

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

[tex](x + 3)(x - 3) = 0 \\ x = 3, - 3[/tex]

Second Screenshot

A linear relationship already says it all. Find the graph that is NOT a curve. The only image that is not a curve and the graph straight forwards is the Image C aka A choice.

Third Screenshot

A nonlinear function is a function that does not have a straight line graph. All linear functions are linear, except for Quadratic and up. Every polynomial function with the degree greater than one wont be a linear.

Fourth Screenshot

[tex]y = x + 3[/tex]

If we change the constant from 3 to 5 then we would get

[tex]y = x + 5[/tex]

The graph would shift up 2 units.

Last Screenshot

The second and third graph both are function. We can tell by doing a line test. Simply draw a vertical line first. Then we check if the line intercepts the graph more than a point or not.

If the line intercepts more than a point then it is not a function.

If the line intercepts only a point then it is a function.

William paid $48 for 12 lbs. of steak, and Ava paid $70 for 10 lbs. Which person paid a greater ratio of dollars per lbs. of steak?

Answers

Answer: Ava paid a greater ratio.

Step-by-step explanation:

hope this helps :)

please help me on this will give you brainliest

Answers

Answer:

13.5

Step-by-step explanation:

You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per
turkey burger and $1.50
per veggie burger. WRITE and SOLVE a system of
linear equations to find the number y of veggie burgers that you buy.

Answers

Answer: There are 20 veggie burgers.

There are two ways you can solve this:

Let x represent turkey burger and y for veggie burger.

2x + 1.50y = 90
x + y = 50

Work:
-2(x + y = 50)
-2x + -2y = -100

2x + 1.50y = 90 << Add like terms
+ -2x + -2y = -100
______________
-0.50y = -10 << Solve for y
y = 20

____________________________

Let x represent turkey burger and y for veggie burger.

2x + 1.50y = 90
x + y = 50 << Solve for x

x = 50 - y << Plug in y for 2x + 1.50y = 90

2(50 - y) + 1.50y = 90
100 - 2y + 1.50y = 90
-0.50y = -10
y = 20




The number of 20 veggie burger, you bought.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

You buy a total of 50 turkey burgers and veggie burgers for $90.

You pay $2 per turkey burger and $1.50 per veggie burger.

Let x represents the turkey burger and y represents the veggie burger.

So, the system of equations,

x + y = 50   equation 1

2x + 1.5y = 90    equation 2

Substituting the value of x from the equation 1 to the equation 2,

100 - 2y + 1.5y = 90

y = 20

Then x = 30

Therefore, 20 veggie burgers you bought.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

14779.67635 Is this in the correct decimal place because it is not? Someone help me

Answers

Answer:

Yes it is

Step-by-step explanation:

A line with a negative slope intersects a horizontal line 3 units above the x-axis. Select each point that can not be the intersection of the two lines.

Answers

Step-by-step explanation:

Since both lines intersect each other 3 units above the x-axis, the y-value of the point of intersection must be 3.

Looking at the options, (-3, 5), (3, -2) and (0, -3) are all invalid points.

The points that can not be the intersection points are:

(-3, 5), (3, -2), and (0, -3)

Options B, C, and D are the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

A line with a negative slope intersects a horizontal line 3 units above the x-axis.

This means,

The y-coordinate will be 3.

The y-intercept is y = 3.

The points of intersection will have the following form,

= (x, 3)

Thus,

(-3, 5), (3, -2), and (0, -3) can not be the intersection points.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

PLEASE HURRY WILL GIVE BRAILIEST!!
Write the equation in point-slope form that has a slope of -3/4 and passes through the point (2, -9).

Answers

Answer:y + 1 = -5(x-4)Explanation:Point-slope form is shown here:Since we have the value of one point and the slope, we can plug those into the formula:y-(-1)=-5(x-4)And we can simplify that to:y + 1 = -5 (x-4)Hope this helps!
y=-3/4x-(15/2)
......................

Coefficient of x in -9 x y2z is
a) 9yz b) -9yz c) 9y2z d) -9y2z
please say the right answer

Answers

Given:

The expression is

[tex]-9xy^2z[/tex]

To find:

The coefficient of x in the given expression.

Solution:

Coefficient of a variable is the product of a number and other variables multiplying the variable in an algebraic expression.

In the given expression the number and variables other than x are -9, y² and z.

So, coefficient of x is

[tex]-9\times y^2\times z=-9y^2z[/tex]

Therefore, the correct option is (d).

Help with this problem

Answers

Answer:

12x -2 = 22

12x = 22 +2

12x = 24

x = 24/12

x= 2

therefore, the vale of x =2.

What are the zeros of the polynomial function f(x) = x3 + 10x2 + 24x?

-6, 0, 4
6,0,-4
-6,0,-4
6,0,4

Answers

x^3 + 10x^2 + 24x

divide by x
x(x^2 + 10x + 24)

factor it
x(x+4)(x + 6)

now solve for x

the answer is -6,0,-4

which scatter plot show a non linear association for the data

Answers

Answer:

Its the first one on the right

Step-by-step explanation:

I took the diagnostic and acced it.

Answer:

The answer is A

Step-by-step explanation:

If you weren't sure with the first one

What expression is equivalent to
(7-2x)+(-4x-10)?

Answers

Answer:

The answer is...

−6

the answer to your question is -6x-3

A rectangle has a length of x + 2, a width of 7, and a perimeter of 32.

The value of x is

Answers

Answer:

x=7

Step-by-step explanation:

You should first write an equasion to represent the question.

There are 2 ways you can write this → x+2+x+2+7+7 or 2(x+2)+2(7)

Then Simplify = To check the answer plug the answer back in ->14+4+14=32

2x+4+14=32

2x+18=32

2x=(32-18)

2x=14

x=7

7*12 ÷ 7*4is equal to _____.

Answers

Answer:

3

Step-by-step explanation:

7*12 / 7*4

84 / 28

3

Answer:

3

Step-by-step explanation:

That would be the answer to this question

Two companies sell sports medals online. Company Y charges $3.59 per medal plus $9.99 for shipping. Company Z charges $3.99 per medal plus $5.99 for shipping. What is the fewest number of medals that can be purchased from Company Y to have a lower total cost than Company Z?

Answers

Answer: 9 I guess let me know the correct answer.

Step-by-step explanation: Hope this helps (:

Find the value of x in the pair of similar figures. PLEASE HELP

Answers

Answer:

10

Step-by-step explanation:

the answer is 10m

because you just multiply the number on the little box by 2

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

Answer: Its the second choice

Step-by-step explanation: square area is base x height; the base is 12 the height is 4. triangle area = (base x height)/ 2; base is 12, times 4 (height), then divide by 2

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