Power to a Power

Power to a Power

Rule: For all numbers x, and integers n and m,
Power to a Power 1“This simply means when raising a power to a power, multiply the exponents.”
Consider:
Power to a Power 2
Take a look at the following examples which illustrate this rule:

  1. (53)5 = 515
    Power raised to a power → multiply the exponents.
  2. (a6)3 = a18
    Power raised to a power → multiply the exponents.
  3. (4x)y= 4xy
    Power raised to a power → multiply the exponents.
  4. (x2)x+3 = x2x+6
    Power raised to a power → multiply the exponents.