NumberExam Tips

Common Mistakes to Avoid

Part of Index LawsGCSE Mathematics

This exam tips covers Common Mistakes to Avoid 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 12 of 13 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 12 of 13

Practice

14 questions

Recall

22 flashcards

Common Mistakes to Avoid

❌ Wrong: 2³ × 3² = 6⁵ ✅ Right: Cannot combine - different bases

Index laws only work with same base

❌ Wrong: (2³)⁴ = 2⁷ ✅ Right: (2³)⁴ = 2¹²

Multiply powers, don't add

❌ Wrong: 5⁰ = 0 ✅ Right: 5⁰ = 1

Any number to power 0 equals 1 (except 0⁰)

❌ Wrong: 2⁻³ = -8 ✅ Right: 2⁻³ = 1/8

Negative power ≠ negative number

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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