Express as Power

Free interactive math game: Express as Power — 64 = 2^?. 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. 64 = 4^?
  2. 16 = 4^?
  3. 9 = 3^?
  4. 8 = 2^?

About this exercise

Writing a number as a power of a given base.

How to solve it

Divide repeatedly by the base and count how many times it goes in.

Worked example

81 is 3 x 3 x 3 x 3, so it is 3 to the power 4.

Common mistake

Miscounting the steps. Reaching 1 after four divisions means an exponent of 4, no more and no less.