Exponent Rules Explained
Written By Dayelis Soca | Watch a Video
This post will help you understand the rules of exponents so they are easier to remember. You will also learn to apply them for simplifying expressions with exponents. Let’s take a look at the most commonly used exponent rules explained.
Product rule
Quotient rule
Zero exponent rule
Negative exponent rule
Rational exponent rule
Power of a power rule
Power of a product rule
Power of a quotient rule
Exponent rules are an essential tool for simplifying exponential expressions and solving exponential equations. Check out the tips and examples below to see these rules in action. And keep scrolling to find practice problems with answer key.
As always, practice makes better. So try out the problems below to practice and improve your skills. Find the answer key at the end of this page to check your work. If you get stuck, review the rules and examples and give it another try. Or watch this video for a step-by-step example.
Simplify the expression completely.
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Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
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Exponents may seem intimidating at first, but with a solid understanding of their rules and applications you can master this important topic. Furthermore, repeated exposure to these rules can help increase your mathematical intuition.
Answer key
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