You’ve probably already seen that in math there are different ways of writing the same thing:4 + 4 + 4 + 4 + 4
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)
Download the Understanding Exponents Worksheets
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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.
|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|
Try the worksheets below to practice working with exponents and bases.