NumberIntroduction

The Rules of Powers

Part of Index LawsGCSE Mathematics

This introduction covers The Rules of Powers 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 1 of 13 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 13

Practice

14 questions

Recall

22 flashcards

The Rules of Powers

When scientists write the number of atoms in a mole (602,000,000,000,000,000,000,000), they use 6.02 × 10²³. When calculating compound interest or bacterial growth, we multiply powers together. Index laws are the rules that make working with powers quick and elegant, turning complex calculations into simple addition and subtraction.

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

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

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