Exponent Rule Relay

Challenge your exponent skills: multiplying same-base powers, dividing powers, and distributing power-of-a-product rules.

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Instructions, device progress and accessibility

Choose Easy, Normal or Hard. Select Practice or the daily puzzle (UTC). Complete every algebra field, then choose Check answer. Hints and Undo mark the round as assisted. Progress stays on this device; daily puzzles reset at 00:00 UTC.

Local progress is checked when play begins.

How to play Exponent Rule Relay

Challenge your exponent skills: multiplying same-base powers, dividing powers, and distributing power-of-a-product rules. Choose a difficulty, work through each puzzle and enter exact values or select the correctly rearranged formula. The free Daily and Practice modes keep progress on your device.

Worked algebra example

x³ × x⁵ / x² = x^(3+5−2) = x⁶. The final exponent is 6.

Key formulas and common mistakes

Same base: xᵃ × xᵇ = xᵃ⁺ᵇ, xᵃ/xᵇ = xᵃ⁻ᵇ, and (xᵃ)ᵇ = xᵃᵇ (x ≠ 0 when dividing).

Frequently asked questions

Do you add exponents when multiplying?

Yes, but only when the bases match. Divide same-base powers by subtracting exponents.

What happens to an exponent in parentheses?

When a power is raised to another power, multiply the exponents.

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