Powers and Roots (AQA GCSE Maths): Flashcards

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Powers and Roots
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Other names for powers

Indices or exponents

am×an=a^m × a^n =

am+na^{m+n} (add powers)

am÷an=a^m ÷ a^n =

amna^{m-n} (subtract powers)

(am)n=(a^m)^n =

amna^{mn} (multiply powers)

a0=a^0 = (where a0a ≠ 0)

11

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

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

an=a^{-n} =

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

Meaning of a12a^{\frac{1}{2}}

Square root of aa

Meaning of a13a^{\frac{1}{3}}

Cube root of aa

Order for amna^{\frac{m}{n}}

Root first, then power

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