Last updated on Sep 20, 2026

Indices (Edexcel GCSE Maths): Flashcards

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Indices

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Definition of indices

Shorthand for repeated multiplication

In $a^n$ , the term $a$

Base

In $a^n$ , the term $n$

Index or power

$a^m × a^n =$

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

$a^m ÷ a^n =$

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

$(a^m)^n =$

$a^{(mn)}$ (multiply indices)

$a^{-n} =$

$\frac{1}{a^n}$

$\left(\frac{a}{b}\right)^n =$

$\frac{a^n}{b^n}$

Any number to power 0

Equals 1

Any number to power 1

Equals itself

Multiplying same bases: operation on indices

Add

Dividing same bases: operation on indices

Subtract

Power of a power: operation on indices

Multiply

Effect of negative power

Creates reciprocal

Negative powers & sign of result

Affects position, not sign

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