AQA•GCSE•Mathematics•Number
Laws of indices
AQA GCSE Mathematics practice questions with step-by-step solutions
Start Practicing Now
Generate unlimited Laws of indices questions. Choose your difficulty level, get instant feedback, and master this topic.
Unlimited questionsDetailed solutionsAQA exam style
Sample Questions
Try before you startPreview AQA GCSE style questions on Laws of indices. Click "Show Solution" to see the step-by-step answer.
EasyQuestion 1
[2 marks]Simplify:
(a) x³ × x⁴
(b) y⁸ ÷ y²
Solution for Question 1
MediumQuestion 2
[3 marks]Simplify:
(a) (m³)⁴
(b) (2n²)³
(c) p⁵ × p³ ÷ p²
Solution for Question 2
HardQuestion 3
[4 marks]Simplify fully:
6a⁵b³ × 4a²b
─────────────
8a⁴b²
Solution for Question 3
Want more questions like these?
Generate Unlimited QuestionsAbout Laws of indices in AQA GCSE
The laws of indices are rules for simplifying expressions with powers. For Foundation tier, you need three main laws:
1. When multiplying with the same base, add the powers: aᵐ × aⁿ = aᵐ⁺ⁿ
2. When dividing with the same base, subtract the powers: aᵐ ÷ aⁿ = aᵐ⁻ⁿ
3. When raising a power to another power, multiply the powers: (aᵐ)ⁿ = aᵐⁿ
These laws only work when the bases are the same. You cannot simplify 2³ × 3² using these laws because the bases (2 and 3) are different. Always check the base before applying any law.
What you'll practice
Exam-style questions matching the AQA specification, from basic to challenging
How it works
AI generates unique questions each time, with full worked solutions and mark schemes