Last updated on Sep 21, 2026

Indices (OCR GCSE Maths): Flashcards

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Indices

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What $5^4$ means

$5 \times 5 \times 5 \times 5$

Rule for $a^m \times a^n$

$a^{m+n}$ (add powers)

Rule for $a^m \div a^n$

$a^{m-n}$ (subtract powers)

Rule for $(a^m)^n$

$a^{m \times n}$ (multiply powers)

Value of $a^0$

$1$

Rule for $a^{-m}$

$\frac{1}{a^m}$ (reciprocal)

Meaning of $a^{\frac{1}{2}}$

$\sqrt{a}$ (square root)

Meaning of $a^{\frac{1}{3}}$

$\sqrt[3]{a}$ (cube root)

Simplify $x^3 \times x^4$

$x^7$

Simplify $x^{12} \div x^4$

$x^8$

Simplify $(x^3)^5$

$x^{15}$

Express $x^{-2}$ as a fraction

$\frac{1}{x^2}$

Value of $5x^0$

$5$

In $a^2bc$ , which term is squared?

Only $a$

Value of $64^{\frac{1}{2}}$

$8$

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