Product Theorem for Exponents: Definition & Examples


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question 1 of 3

The Product Theorem for Exponents states that when you multiply exponential terms that have the same base, you _____ the powers.

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1. Multiply the following:

2. Multiply 47 by 47.

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About This Quiz & Worksheet

In this quiz and worksheet combination, you are asked about the Product Theorem for Exponents, and what rules it states. Along with the definition, you are given some practice problems that can be solved by applying the product theorem.

Quiz & Worksheet Goals

Expect to see the following subjects in this quiz and worksheet combination:

  • The Product Theorem for Exponents definition
  • Multiplication with exponents
  • Applying the theorem

Skills Practiced

  • Problem solving - use your knowledge to solve practice problems that involve applying the Product Theorem for Exponents
  • Defining key concepts - explain the rules of the Product Theorem for Exponents
  • Information recall - remember what you have learned about multiplying with exponents

Additional Learning

To find out more, open the lesson titled Product Theorem for Exponents: Definition & Examples. With it, you can study the following content:

  • Powers
  • Exponents
  • Variables
  • Reciprocals/inverses