Indices (AQA GCSE Maths): Flashcards

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Indices
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What indices represent

Repeated multiplication

In ana^n, what 'a' is called

Base

In ana^n, what 'n' is called

Index (or power or exponent)

Law 1: amimesan=a^m imes a^n =

am+na^{m+n} (add the indices)

Law 2: amdivan=a^m div a^n =

amna^{m-n} (subtract the indices)

Law 3: (am)n=(a^m)^n =

amna^{mn} (multiply the indices)

Law 4: an=a^{-n} =

rac{1}{a^n} (reciprocal)

Powers of fractions: ( rac{a}{b})^n =

rac{a^n}{b^n} (apply to both parts)

Any number raised to power 0

Equals 1

Any number raised to power 1

Equals itself

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