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Powers (Bases and Exponents)

You’ve probably already seen that in math there are different ways of writing the same thing:

4 + 4 + 4 + 4 + 4
(repeated addition)
4 x 5 (multiplication)

Multiplication is a shorter and neater way of showing repeated addition.

Powers: Bases and Exponents

In a similar way to how multiplication can be used in place of repeated addition, Powers can be used to show repeated multiplication.

3 x 3 x 3 x 3 x 3 (repeated multiplication)
35 (Power)

Download the Understanding Exponents Worksheets

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This premium worksheet bundle contains 10 activities to challenge your students and help them understand Exponents.

View the Worksheets Understanding Exponents Worksheets

New Words and Terms To Learn

Powers have two parts; a base and an exponent. There are different ways of “saying” powers that you might hear:
1. the fifth power of three
2. three raised to the fifth power
3. three to the power of five, or just
4. three to the fifth

Memory Hint: base is on the bottom – like most bases!

Examples with bases and exponents

The examples below will help with understanding how values, bases, exponents, powers, and repeated multiplication are related.

Power Base Exponent Repeated Multiplication Value
43 4 3 4 x 4 x 4 64
35 3 5 3 x 3 x 3 x 3 x 3 243
26 2 6 2 x 2 x 2 x 2 x 2 x 2 64
54 5 4 5 x 5 x 5 x 5 625
73 7 3 7 x 7 x 7 343

Repeated Multiplication

Exponents Worksheets

Try the worksheets below to practice working with exponents and bases.