Practice Exponents in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

An operation representing repeated multiplication: $a^n$ means $a$ multiplied by itself $n$ times. For example, $2^3 = 2 \times 2 \times 2 = 8$ . Exponents extend to zero, negative, and fractional powers.

$2^3$ means $2 \times 2 \times 2 = 8$ . The exponent tells you how many times to multiply.

Showing a random 20 of 50 problems.

Example 1

easy

Compute

2^6

Example 2

hard

Solve for

x

2^x = 32

Example 3

hard

Solve

3^{x+1} = 81

Example 4

easy

Compute

(3^2)^3

Example 5

medium

Compute

\frac{6^7}{6^4}

Example 6

medium

Compute

9^{1/2}

Example 7

easy

Compute

6^2

Example 8

easy

Compute

10^4

Example 9

medium

Simplify

(x^3)^4

Example 10

easy

Compute

4^2 \cdot 4^3

as a power of

4

Example 11

medium

Express

0.001

as a power of

10

Example 12

easy

Compute

5^3

Example 13

easy

Compute

3^4

Example 14

medium

Compute

\left(\tfrac{1}{2}\right)^4

Example 15

hard

Which is larger,

2^{10}

10^3

Example 16

easy

Compute

5^0

Example 17

hard

Simplify

8^{2/3}

Example 18

challenge

Simplify

\frac{(x^2 y^{-3})^{-2}}{x^{-1} y^4}

Example 19

medium

Simplify

\frac{2^5 \times 2^3}{2^4}

Example 20

challenge

2^x = 32

, find

x

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Related Concepts

Multiplication Square Roots Logarithm Exponential Function