Powers (Bases and Exponents)

Grades K-8 Worksheets

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Understanding Exponents Worksheets

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

4 + 4 + 4 + 4 + 4
(repeated addition)
and
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)
and
35 (Power)

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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.

PowerBaseExponentRepeated MultiplicationValue
43434 x 4 x 464
35353 x 3 x 3 x 3 x 3243
26262 x 2 x 2 x 2 x 2 x 264
54545 x 5 x 5 x 5625
73737 x 7 x 7343

Repeated Multiplication

Exponents Worksheets

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