Algebra
Basic

Power of a Power

Raising a power to a power multiplies the exponents.

Formula

(am)n=amn(a^m)^n = a^{mn}

Variables

aBase
m, nExponents

Example

(2³)² = 2⁶ = 64.

Did You Know?

This rule is why (10³)³ = 10⁹ — a billion — exponents multiply when raised to a power.

exponentslaws