Fractional Indices (Roots)

Fractional Indices

a1/n = n√a (the nth root of a)

am/n = (n√a)m = n√am

Examples

91/2 = √9 = 3

81/3 = 3√8 = 2

272/3 = (3√27)2 = 32 = 9

Method: Deal with the root (bottom of fraction) first, then the power (top).

Discussion

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Related Exercises

Evaluate Roots

Evaluate:161/2641/3253/282/3813/4

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Simplify Algebraic Expressions

Simplify, leaving answers with positive indices:x1/2 × x1/2(y1/3)6a2/3 ÷ a1/3(8x3y6)1/3

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