Two worksheets with questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included.

Master the laws of indices with this comprehensive, no-prep 2-worksheet resource pack! Covers multiplying and dividing indices, power of a power, negative and fractional indices, and advanced algebraic index equations. Complete with step-by-step worked solutions, it is perfect for KS3 and KS4 GCSE Maths revision, homework, or cover lessons!

Master the laws of indices and algebraic fractions with this complete, print-and-go 2-worksheet resource pack!
Whether your students are just learning foundational index laws or tackling advanced fractional indices and exponential equations, this resource provides rigorous, tiered practice. Worksheet 1 focuses on core index operations and evaluating numerical bases, while Worksheet 2 pushes students further with challenging algebraic expressions and solving complex equations involving indices.
Best of all, complete, step-by-step worked solutions are included for every single question, making peer-marking, self-assessment, or teacher grading an absolute breeze!

Key Skills Covered:
• Multiplication & Division Laws: Simplifying expressions by adding and subtracting indices with the same base.
• Power of a Power Rule: Simplifying expressions where a term inside brackets is raised to an outer power.
• Zero & Negative Indices: Evaluating zero powers and rewriting terms with negative powers as fractions.
• Fractional Indices & Roots: Evaluating square roots, cube roots, and fractional powers without a calculator.
• Algebraic Expressions: Simplifying complex, multi-variable terms involving algebraic fractions and fractional power attributes.
• Solving Index Equations: Finding unknown variables by equating bases and solving exponential algebraic setups.

Perfect For:
• KS3 Maths Extension & Upper Tier Learning
• KS4 GCSE Maths Revision (Foundation and Higher tiers)
• Independent Study, Homework Tasks, or Weekly Booklets
• Low-stakes Assessment, Remediation, & Intervention Groups
• High-quality, Print-and-Go Cover Lessons (No preparation required!)

What’s Included in Your Download?
• 2 Comprehensive Student Practice Worksheets (Clean layouts with ample working space)
• 2 Full Teacher Answer Keys featuring detailed, line-by-line worked solutions