Free printable worksheet

Exponents Worksheet

Twenty problems evaluating powers and applying introductory exponent rules.

Middle School MathGrades 6-83 pagesAnswer key included

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What this worksheet includes

  • Twenty problems evaluating powers and applying introductory exponent rules.
  • 3-page printable PDF with a complete answer key
  • Designed for Grades 6-8 middle school math practice
  • Available as an immediate free download with no email required

How to use it

Use this exponents worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.

After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.

Who this practice is for

This resource is designed for grades 6-8 students working on middle school math. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.

Looking for a broader sequence? Browse all Middle School Math worksheets.

Topic guide

How to approach exponents

An exponent tells how many times a base is used as a factor. Parentheses determine whether a negative sign belongs to the base: (−3)⁴ differs from −3⁴.

Evaluate powers before other arithmetic and distinguish repeated multiplication from multiplying the base by the exponent.

Learning objectives

  • Interpret base and exponent
  • Evaluate powers with signed bases
  • Use exponents in numerical expressions

Skills to review first

  • Multiplication facts
  • Order of operations
  • Positive and negative numbers
Worked example

Follow the reasoning step by step

Evaluate (−3)⁴.

  1. The parentheses make −3 the base.
  2. Write four factors: (−3)(−3)(−3)(−3).
  3. Pair the negative factors to get positive products.
  4. Multiply 9 × 9.

Solution: 81.

Try before downloading

Three sample problems

Work each problem, then open the answer to check your result.

Problem 1 · repeated multiplication

2⁵

Show answer

32

Problem 2 · negative outside the power

−2⁴

Show answer

−16

Problem 3 · powers in an expression

10³ + 4²

Show answer

1,016

Error check

Common mistakes to watch for

  • Multiplying the base by the exponent
  • Ignoring parentheses around a negative base
  • Multiplying exponents during evaluation