Question
Evaluate: $\big(64\big)^{-\frac{1}{2}}$

Answer

$\big(64\big)^{-\frac{1}{2}}=\frac{1}{\big(64\big)^{\frac{1}{2}}}=\frac{1}{\big(8^2\big)^{\frac{1}{2}}}=\frac{1}{\big(8\big)^{2\times\frac{1}{2}}}$ $=\frac{1}{8^1}=\frac{1}{8}$

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