Algebraic indices (AQA GCSE Maths): Flashcards

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Algebraic indices
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What are algebraic indices?

Repeated multiplication written in shorter form

Base in y3y^3

The main letter or number (yy)

Index in y3y^3

The small number above and to the right (33)

Another word for index

Power

Multiply powers, same base: am×an=a^m \times a^n =

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

Divide powers, same base: am÷an=a^m \div a^n =

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

Power to power: (am)n=(a^m)^n =

amna^{mn} (multiply the indices)

Power inside brackets: (ab)n=(ab)^n =

an×bna^n \times b^n (apply to each part)

Index laws requirement

Bases must be the same

No visible index means power of

11

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