Properties of Exponents Worksheets | Negative & Zero Exponent Rules with Answers

Three worksheets on the following exponent rules:

• Power Rule
• Product Rule
• Quotient Rule
• Power of a Product
• Power of a Quotient
• Zero Exponent Rule
• Negative Exponent Rule
  The students have to apply these laws to evaluate or simplify expressions in given problems.

Detailed solutions to all worksheets are provided.

Master the Laws of Exponents & Indices with Ease!
Are your students struggling to remember exponent properties or index laws? Simplify your lesson planning with this comprehensive 34-question practice packet designed to build complete mastery over positive, negative, and zero exponent rules.
This print-ready resource provides tiered, scaffolded practice that moves students smoothly from basic integer operations to complex expression simplification. Perfect for middle/high school classrooms (Grades 7–10), GCSE revision, algebra remediation, homework assignments, or sub plans!

What’s Included:

• Page 1: Basic Rules Practice (12 Problems covering Product, Quotient, and Power of a Power rules)
• Page 2: Multistep & Base Modification (12 Problems introducing nested brackets, changing bases like turning 36 into 6^2, and negative values)
• Page 3: Advanced Challenges (10 Complex problems featuring mixed rules, zero powers, and negative distributions)
• Pages 4–6: Complete, Step-by-Step Solutions (A detailed teacher answer key showing exactly how every single expression is simplified—perfect for quick grading or student self-assessment!)

Skills & Properties Covered:

• Product Rule / Multiplying Indices (Adding exponents when multiplying bases)
• Quotient Rule / Dividing Indices (Subtracting exponents when dividing bases)
• Power of a Power / Brackets Rule (Multiplying exponents when raising a power to a power)
• Power of a Product & Power of a Quotient
• Zero Exponent / Index Law (Any non-zero base raised to the power of 0 equals 1)
• Negative Exponents / Reciprocal Indices (Flipping the base to make the exponent positive)

Perfect For:

• Independent Practice & Classwork
• Homework Assignments & Cover Lessons
• Test Prep, GCSE Revision & Math Remediation
• Stress-Free Sub Plans

Curriculum Alignment:

• US Common Core: CCSS.8.EE.A.1, CCSS.HSN-RN.A.1
• UK National Curriculum: Key Stage 3 (KS3) & Key Stage 4 (KS4) GCSE Maths (Number/Algebra)
• Australian Curriculum: Year 8, 9, and 10 Index Laws

Note: This resource is a ready-to-print PDF file. No prep required—just download, print, and teach!