Representing Exponents

Representing Exponents

An exponent is a value that tells you how many times to multiply a base.

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Here you can see an example of a base of 4 being raised to an exponent or power of 3.

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What is an Exponent?

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Multiple Choice

Identify the exponent of the expression:

10²

• 10

• 2

Multiple Choice

Identify the base of the expression:

10²

• 10

• 2

All of these forms are equivalent to each other.

Writing equivalent expressions:​

​Exponential Form	​Expanded Form	Standard Form
​2⁵	​2⋅2⋅2⋅2⋅2	32​
​This is considered the simplest form to write an expression involving repeating multiplication.	This form shows us how to calculate the value of the expression. The number of 2s matches the exponent.​	​This is the calculated value of the exponential form.

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Multiple Choice

Which of the following equivalent expressions if written in expanded form?

• 5 x 5 x 5

• 125

• 5³

Multiple Choice

Which of the following equivalent expressions is written in exponential form?

• 5 x 5 x 5

• 125

• 5³

Multiple Choice

Which of the following equivalent expressions is written in standard form?

• 25

• 5²

• 5 X 5

Multiple Choice

What is 7⁵ written in expanded form?

• 7 x 5

• 7x 7 x 7 x 7 x 7

• 16,807

• 35