Negative Exponent: Definition & Rules


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question 1 of 3

A city finds its residents moving to the suburbs. Its population is declining according to the relationship below. Given that the original population for the city was 1,000,000, what will the population be after 20 years?

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1. Write -2a-2 b3 in proper form.


Rewrite the following in proper form:

7x^2 y^5/z^3

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About This Quiz & Worksheet

Solving a problem with a negative exponent isn't quite as simple as one with a positive exponent, so it's imperative that you understand the rules. In this quiz, you'll apply those rules to solve problems with negative exponents and rewrite expressions in proper form.

Quiz & Worksheet Goals

This negative exponent quiz is here so you can test your ability to:

  • Solve a word problem when the equation has a negative exponent
  • Rewrite an expression in proper form
  • Calculate negative exponent equations
  • Find the answer to an expression and then write in proper form

Skills Practiced

  • Reading comprehension - draw from the most relevant information from the lesson on negative exponent rules
  • Critical thinking - use this information to consider how to solve a word problem when a negative exponent is involved
  • Problem solving - calculate a series of expressions with negative exponents

Additional Learning

Want to know more? The lesson titled Negative Exponent: Definition & Rules covers the following objectives:

  • Explore the history of exponents
  • Demonstrate a negative exponent written in proper form
  • List the laws of exponents
  • Explain real life applications for the rules of negative exponents