This deep dive covers Higher Level: Fractional Indices 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 11 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 11 of 13
Practice
14 questions
Recall
22 flashcards
Higher Level: Fractional Indices
Fractional indices connect powers and roots:
- a^(1/2) = √a (square root)
- a^(1/3) = ∛a (cube root)
- a^(m/n) = (ⁿ√a)ᵐ (root then power)
Example: 8^(2/3) = (∛8)² = 2² = 4
Or: 8^(2/3) = ∛(8²) = ∛64 = 4