Skill: exponents

Exponent Rules Practice

An endless supply of never-repeating exponent problems with instant feedback. Evaluate powers, apply the five rules, and tackle growth word problems — one problem at a time.

1 Practice

Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution.

Score 0 · Streak 0 · Problem 0

Score counts first-try correct answers. Streak counts consecutive correct answers.

Evaluate a power

How to enter answers

Numbers: an integer (64), a fraction (1/8), or a decimal (0.125). Equivalent forms count: for a numeric base, 2^5 is accepted for 32.
Powers: use the caret, like x^7 or 8x^3. Superscript characters like x&sup7; work too.
Negative exponents: 2^-3 and 1/8 are both accepted.

2 What you’ll practice

Every problem is generated fresh from 12 templates — a problem never repeats until its whole pool is used up.

Evaluate & simplify

Compute powers like 4³, apply the zero exponent, and flip negative exponents into fractions.

2⁵ → 32 · 7⁰ → 1 · 3⁻² → 1/9

The five rules

Multiply → add, divide → subtract, power of a power → multiply — with numbers and with variables.

x³ · x⁴ → x⁷ · (y²)⁵ → y¹⁰

Word problems

Growth situations — bacteria doubling, money compounding — translated into a single power expression.

5 cells, doubling hourly, after 6 hours → 5 · 2⁶ = 320

3 Watch out for these

The three mistakes students make most often on exponent problems.

1. Adding exponents for a power of a power

Wrong: (x²)³ = x⁵. Right: (x²)³ = x⁶ — multiply the exponents.

2. Computing 2³ as 2 · 3

Wrong: 2³ = 6. Right: 2³ = 2 · 2 · 2 = 8.

3. Multiplying exponents when multiplying powers

Wrong: x⁴ · x³ = x¹². Right: x⁴ · x³ = x⁷ — add the exponents.

Review the lesson Open the exponent tool Print a worksheet