Exponent Rules

Free interactive math game: Exponent Rules — x³ · x⁵ = x⁸. Part of the Powers & Roots category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. (x^4)^4 = ?
  2. y^6 : y^2 = ?
  3. x^11 : x^3 = ?
  4. a^5 : a^4 = ?

About this exercise

The rules for combining powers of the same base.

How to solve it

Multiplying adds the exponents, dividing subtracts them, and a power of a power multiplies them.

Worked example

2 cubed times 2 to the power 4 is 2 to the power 7.

Common mistake

Multiplying the exponents when the powers are multiplied. Multiplication adds them.