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HomeAQA GCSE MathematicsLaws of indices (including negative and fractional indices)
AQA · GCSE · Mathematics

Laws of indices (including negative and fractional indices)
Practice Questions

19 AQA GCSE Mathematics questions on Laws of indices (including negative and fractional indices), each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Laws of indices (including negative and fractional indices).

Try 2 sample questions on Laws of indices (including negative and fractional indices)

Question 1 · 1 mark · Difficulty 1/3

Simplify x^5 × x^3.

  1. x^8
  2. x^15
  3. x^2
  4. x^53
Show answer & explanation
✓ Answer: Ax^8
When multiplying powers with the same base, add the indices: 5 + 3 = 8, so x^5 × x^3 = x^8.
Question 2 · 1 mark · Difficulty 1/3

Simplify y^9 ÷ y^4.

  1. y^5
  2. y^13
  3. y^36
  4. y^2.25
Show answer & explanation
✓ Answer: Ay^5
When dividing powers with the same base, subtract the indices: 9 − 4 = 5, so y^9 ÷ y^4 = y^5.
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AQA GCSE Mathematics: Laws of indices (including negative and fractional indices) FAQ

How many AQA GCSE Mathematics questions on Laws of indices (including negative and fractional indices) are there on Kramizo?
Kramizo currently has 19 exam-board-aligned practice questions on Laws of indices (including negative and fractional indices) for AQA GCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real AQA paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for AQA GCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Laws of indices (including negative and fractional indices) practice with other Mathematics topics or even switch to a totally different AQA subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Laws of indices (including negative and fractional indices) questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AQA paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from AQA.
How is Laws of indices (including negative and fractional indices) typically tested on AQA GCSE Mathematics papers?
Laws of indices (including negative and fractional indices) appears across multiple question types on real AQA GCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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