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

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Laws of Indices
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Index (definition)

A power

Plural of index

Indices

Fraction index: denominator represents

The root

Fraction index: numerator represents

The power

Negative power means

Reciprocal

ax×ay=a^x \times a^y =

ax+ya^{x+y}

ax÷ay=a^x \div a^y =

axya^{x-y}

(ax)y=(a^x)^y =

axya^{xy}

Same base multiplication: exponent rule

Add exponents

Same base division: exponent rule

Subtract exponents

Power to power: exponent rule

Multiply exponents

Any non-zero base to power 0

11

Value: 272327^{\frac{2}{3}}

99

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