8th Grade · Expressions & Equations

Power of a Power

8.EE.A.1

Definition

When raising a power to another power, keep the base and multiply the exponents. The quantity x to the a, raised to the b, equals x to the a times b.

Examples

  • (x3)4 = x^(3 × 4) = x12.
  • Add exponents for the product rule, but multiply for power of a power.

Key rule

Multiply the exponents when raising a power to another power.

Memory hook

Keep the base, multiply the exponents.