NumberDeep Dive

Method: Using the Multiplication Law

Part of Index LawsGCSE Mathematics

This deep dive covers Method: Using the Multiplication Law within Index Laws for GCSE Mathematics. Revise Index Laws in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 4 of 13 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 13

Practice

14 questions

Recall

22 flashcards

Method: Using the Multiplication Law

1 Check bases are the same
2 Add the indices
3 Example: 3⁴ × 3⁵ = 3⁴⁺⁵ = 3⁹
4 Why it works: 3⁴ × 3⁵ = (3×3×3×3) × (3×3×3×3×3) = 3⁹

Keep building this topic

Read this section alongside the surrounding pages in Index Laws. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Index Laws

Which of these is equivalent to a³ × a⁵?

  • A. a⁸
  • B. a¹⁵
  • C.
  • D. 2a⁸
1 markstandard

Simplify a⁵ × a³

1 markfoundation

Quick Recall Flashcards

Zero Power Law
a⁰ = 1 ANY number to power 0 equals 1 (except 0⁰ which is undefined) Examples: 5⁰ = 1, 100⁰ = 1
Division Law
aᵐ ÷ aⁿ = aᵐ⁻ⁿ SUBTRACT the powers Example: 5⁶ ÷ 5² = 5⁴

14 questions on Index Laws — practise free

Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.

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