GCSE · Indices

The index lawsExam-style questions

Why multiplying powers adds the indices, dividing subtracts them, and a power of a power multiplies them — and why every part of a bracket, coefficient included, takes the power.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    (a) Work out the value of 34×3−23^4 \times 3^{-2} [1]

    (b) Work out the value of 272327^{\frac{2}{3}} [1]

    (c) Simplify (2x3)3(2x^3)^3 [1]
    Level 2 · 3 marksTry it