Exponent Study Guide

What is an Exponent?

An exponent represents the number of times a base is multiplied by itself. It is written as a superscript to the right of the base number. The general form of an exponent is:

Base^Exponent

Example:

2³ = 2 * 2 * 2 = 8

Understanding Exponent Notation

When a number is raised to the power of 1, it remains unchanged. For example: 5¹ = 5

When a number is raised to the power of 0, it equals 1. For example: 6⁰ = 1

Rules of Exponents

Product Rule

a^m * aⁿ = a^m+n

Example:

2³ * 2⁴ = 2⁷ = 128

Quotient Rule

a^m / aⁿ = a^m-n

Example:

5⁶ / 5³ = 5³ = 125

Power Rule

(a^m)ⁿ = a^m*n

Example:

(3²)⁴ = 3⁸ = 6561

Practice Problems

1. Calculate 4³
2. Simplify 7² * 7⁴
3. What is the value of 10⁰?

Answers

1. 4³ = 4 * 4 * 4 = 64
2. 7² * 7⁴ = 7⁶ = 117649
3. 10⁰ = 1

[Exponent] Related Worksheets and Study Guides:

• Exponential & Scientific NotationMathematics • Fifth Grade
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• MultiplicationMathematics • Fifth Grade
• AlgebraMathematics • Fifth Grade
• MultiplicationMathematics • Third Grade
• MultiplicationMathematics • Fourth Grade