Question

pls send the answer of this with full explanation
find = 64^-1/5

Answer 1

$question. \: \: \: \: \: \: \: {64}^{ \frac{ - 1}{5} } \\ sol. \: \: \: = { ( \frac{1}{64} )}^{ \frac{1}{5} } \\ = \sqrt[5]{ \frac{1}{64} } \\ = \sqrt[5]{ \frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} } \\ = \frac{1}{ 2\sqrt{2} } = \frac{1}{2 \sqrt{2} } \times \frac{2 \sqrt{2} }{2 \sqrt{2} } \\ = \frac{2 \sqrt{2} }{8 } = \frac{ \sqrt{2} }{4}$

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