NumberKey Facts

What Are Index Laws?

Part of Index LawsGCSE Mathematics

This key facts covers What Are Index Laws? 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 2 of 13 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 13

Practice

14 questions

Recall

22 flashcards

What Are Index Laws?

  • Index Laws: Rules for combining powers (indices)
  • Base must be the same: Laws only work when bases match
  • Simplify calculations: Turn multiplication into addition
  • Work with any base: Numbers, algebra, even fractions

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

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