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

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Write $\dfrac{4^3 \times 8^4}{2^{10}}$ as a single power of 2.
Level 5 · 3 marksTry it
2
(a) Write $\dfrac{9^4 \times 3^5}{27^3}$ as a single power of $3$ .

(b) Hence write down the value of the expression.
Level 5 · 4 marksTry it