a⁴ · a³
Show answer
a⁷
Free printable worksheet
Exponent Rules Worksheet
Twenty expressions using product, quotient, power, zero, and negative exponent rules.
Algebra 1Grades 7-103 pagesAnswer key included
No email is required. Download the complete worksheet and answer key now.
Download the free PDF
What this worksheet includes
- Twenty expressions using product, quotient, power, zero, and negative exponent rules.
- 3-page printable PDF with a complete answer key
- Designed for Grades 7-10 algebra 1 practice
- Available as an immediate free download with no email required
How to use it
Use this exponent rules 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 7-10 students working on algebra 1. 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 Algebra I worksheets.
Topic guide
How to approach exponent rules
Exponent rules describe repeated multiplication efficiently. Multiply like bases by adding exponents, divide by subtracting exponents, and raise a power to a power by multiplying exponents.
Zero and negative exponents require special attention: a⁰ = 1 for a ≠ 0, and a⁻ⁿ = 1 ÷ aⁿ. Simplified answers should use positive exponents unless directions say otherwise.
Learning objectives
- Apply product, quotient, and power rules
- Interpret zero and negative exponents
- Simplify expressions with several rules
Skills to review first
- Meaning of an exponent
- Multiplying monomials
- Fraction simplification
Worked example
Follow the reasoning step by step
Simplify (x³y²)² ÷ (xy³).
- Apply the power rule: x⁶y⁴ ÷ (xy³).
- Subtract x-exponents: x⁶ ÷ x = x⁵.
- Subtract y-exponents: y⁴ ÷ y³ = y.
- Write the product x⁵y.
Solution: x⁵y.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
(m²)⁵
Show answer
m¹⁰
p³ ÷ p⁷
Show answer
1 ÷ p⁴
Error check
Common mistakes to watch for
- Adding exponents when raising a power to a power
- Applying exponent rules to unlike bases
- Leaving negative exponents in a final answer