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Find :
i)\((64)^{\frac{1}{2}} \)
ii)\((32)^{\frac{1}{5}} \)
iii)\((125)^{\frac{1}{3}} \)


Answer :

i)\((64)^{\frac{1}{2}} \)
\(= (8 × 8)^{\frac{1}{2}}\)
\(= 8^{\frac{1}{2} × 2} =8 \)

ii) \((32)^{\frac{1}{5}} \)
\( = (2 × 2 × 2 × 2 × 2)^{\frac{1}{5}}\)
\( = 2^{\frac{1}{5} × 5}\) =\( 2\)

iii) \((125)^{\frac{1}{3}} \)
\( = (5 × 5 × 5)^{\frac{1}{3}}\)
\( = 5^{3 × \frac{1}{3}}\) = \(5\)

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