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Negative and Fractional Exponents Worksheet | Practice Packet & Answer Key

Negative and Fractional Exponents Worksheet | Practice Packet & Answer Key

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

6 August 2026

pdf, 113.72 KB
pdf, 113.72 KB

A worksheet on power 1, power 0, negative powers and fractional powers. Detailed solutions are included.

Master negative and fractional exponents with this comprehensive, no-prep 6-page worksheet pack. Features 5 scaffolded tasks covering zero, negative, fractional, and negative-fractional indices. Includes a complete step-by-step written answer key—perfect for classwork, homework, or exam revision.

Eliminate common student misconceptions and build absolute confidence in algebraic powers with this ready-to-print, highly structured practice pack!
Working with negative roots, zero indices, and reciprocal fractions can be incredibly confusing for secondary school maths students. This comprehensive resource provides a perfectly scaffolded progression path to move students from basic rules to mastering complex Grade 7–9 exam-style problems.

What’s Included in the 6-Page PDF?
• Section 1: Integer & Zero Index Basics – Quick-fire practice finding the exact numerical value of basic integer bases (e.g., 5^0, 19^-1, 6^-2).
• Section 2: Algebraic Fraction Conversions – Writing variable terms into clean fractional forms (e.g., converting 13m^-2 or 3/7 y^-4).
• Section 3: Fractional Indices (Unit & Non-Unit Roots) – Evaluating fractional powers where students calculate roots before powers (e.g., 36^1/2, 125^2/3).
• Section 4: Negative Fractional Exponents – Combining both rules seamlessly (e.g., 25^-1/2, 27^-2/3, 32^-3/5).
• Section 5: Fractional Bases – Advanced mastery involving numerical fractions raised to negative and fractional powers (e.g., (1000/27)^-2/3).
• Complete Answer Key – Full, step-by-step worked solutions for every single problem to allow for easy self-assessment or display on whiteboards.

Key Features & Teacher Benefits
• Zero Preparation Required: Just download, print, and hand out to your classes immediately.
• Highly Scaffolded Layout: Tasks naturally step up in difficulty, making differentiation across your classroom seamless.
• Full Step-by-Step Solutions: Every question has its full mathematical breakdown included, preventing passive grading and encouraging self-correction.
• Versatile Classroom Use: Ideal as a core lesson practice sheet, a targeted homework booklet, independent revision, or a completely self-contained cover lesson plan.

Curriculum & Level Alignment
• UK Curriculum: Key Stage 4 (KS4) GCSE Mathematics – Higher Tier (Targeting Grades 5 to 9).
• Exam Boards: Fully compatible with AQA, Edexcel, and OCR specifications.
• Topics Covered: Number laws of indices, rational exponents, writing expressions in fraction form.

Get this resource as part of a bundle and save up to 45%

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