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Study Guide: Exponents and Variables: Powers of Products and Quotients
Source: https://www.fatskills.com/algebra/chapter/exponents-and-variables-powers-of-products-and-quotients

Exponents and Variables: Powers of Products and Quotients

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~1 min read

For any nonzero numbers image and image and any integer image, image
and image
 

Examples:
Example 1.  Simplify. image
Solution: Use Exponent’s rules:image
image

Example 2.  Simplify. image
Solution: First, cancel the common factor:image
Use Exponent’s rules:image, Then: image

Example 3.  Simplify. image
Solution: Use Exponent’s rules:image
image

Example 4.  Simplify. image
Solution: First, cancel the common factor:image
Use Exponent’s rules:image, Then: image


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