Powers & Roots of Numbers

Practice Questions

GMAT Quantitative Reasoning › Powers & Roots of Numbers

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1

Which of the following expressions is equivalent to $x^{\frac{2}{3}}$ ?

You may assume that is positive.

2

Which of the following expression is equal to

$\sqrt{(45)(9)+(27)(36)}$

3

Kite

Give the area of the above kite.

4

Evaluate $\left (1,296^{\frac{1}{3} } \right )^{\frac{1}{2} }$ .

5

If the side length of a cube is tripled, how does the volume of the cube change?

6

If $\small x^2=8$ , what is $\small x^4?$

7

Which of the following numbers has a rational square root and a rational cube root?

8

$(\sqrt{75}+\sqrt{108})^{\sqrt[3]{8}}=$

9

Which of the following is equal to the twelfth power of the cube root of ?

Assume to be positive.

10

What is ?

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