Algebra 1 · Polynomials & Exponents

Power of a Power

Algebra 1 · Polynomials & Exponents

Definition

Power of a power: raising a power to another exponent multiplies the exponents, (x^a)^b = x^(ab).

Examples

  • (x3)4 = x12.
  • (22)3 = 26.

Key rule

Keep the base and multiply the two exponents.

Memory hook

Power to a power − multiply the exponents.