Solving Equations With Exponents


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question 1 of 3

What is the value of x in this equation? x3=64

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1. Solve for x. 34=x.

2. In the equation x3=100, what is the term for the variable?

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About This Quiz & Worksheet

This quiz and worksheet reviews your understanding of exponents and how to solve equations with them. You'll also apply what you know to solve sample problems including positive and negative exponents.

Quiz & Worksheet Goals

The focus of this quiz and worksheet is to see what you know about:

  • Solving for the variable without the exponent
  • Understanding how to solve a number with an exponent
  • Identifying the parts of an exponent
  • Using the formula for the volume of a cube

Skills Practiced

  • Problem solving - use what you know about solving equations with exponents to find the value of the variables in practice problems
  • Information recall - see if you remember what the parts of an exponent are
  • Interpreting information - use what you know about solving equations with negative exponents and interpret it correctly

Additional Learning

If you would like a more comprehensive review of this topic, it's in the lesson called Solving Equations with Exponents. This lesson offers a deeper explanation of:

  • How exponents could be rewritten
  • Understanding the terms and meaning for the parts of these numbers
  • The difference in the base being a number versus a variable
  • What an inverse operation is
  • How to convert a negative exponent to a positive