With Powers

Free interactive math game: With Powers — 2² + 3·(4−1)². Part of the Order of Operations 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. 4³ − 5² + 9 = ?
  2. 3³ − 4² + 3 = ?
  3. (3 + 4)² − 3·3 = ?
  4. (3 + 5)² − 7·2 = ?

About this exercise

Adding powers to the ranking of operations.

How to solve it

Powers are settled before multiplication and division, which in turn come before addition and subtraction. Brackets still outrank everything.

Worked example

In 5 squared + 4 x 3 the power gives 25, the product gives 12, and the total is 37.

Common mistake

Multiplying the base by the exponent. Five squared is 25, not 10.