Laws of Indices (AQA A-Level Mathematics): Flashcards

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Laws of Indices
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What is an index?

A power

Plural of index

Indices

Fractional index: denominator meaning

The root

Fractional index: numerator meaning

The power

What does a negative power mean?

Reciprocal

Simplify: ax×aya^x \times a^y

ax+ya^{x+y}

Simplify: ax÷aya^x \div a^y

ax−ya^{x-y}

Simplify: (ax)y(a^x)^y

axya^{xy}

Value of a0a^0 (where a≠0a \neq 0)

11

Multiplying powers with same base: operation on exponents

Add exponents

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