Exponents

Practice Questions

ACT Math › Exponents

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1

Which of the following is the square of $5 \sqrt{x} +3 \sqrt{y}$ ?

You may assume both and are positive.

2

What is the value of m where:

$64^{\frac{n}{12}}=(m)4^{(\frac{1+m}{m+n})}$

3

If an account has interest compounded quarterly at an annual rate of , what is the balance of the account after years of compounding if the initial balance is ? Round to the nearest cent.

4

$64^{\frac{4}{3}}$ can be written as which of the following?

A. $\sqrt[3]{64^4}$

B. $(\sqrt[3]{64})^{4}$

C.

5

$64^{\frac{4}{3}}$ can be written as which of the following?

A. $\sqrt[3]{64^4}$

B. $(\sqrt[3]{64})^{4}$

C.

6

Which of the following is the square of $5 \sqrt{x} +3 \sqrt{y}$ ?

You may assume both and are positive.

7

Which of the following is the square of $5 \sqrt{x} +3 \sqrt{y}$ ?

You may assume both and are positive.

8

Which of the following is the square of $5 \sqrt{x} +3 \sqrt{y}$ ?

You may assume both and are positive.

9

$64^{\frac{4}{3}}$ can be written as which of the following?

A. $\sqrt[3]{64^4}$

B. $(\sqrt[3]{64})^{4}$

C.

10

Simplify the following: $x^{5}\cdot x^{5}$

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