The correct option is D 16 √((1/64)^ 2)=√((64)^2)=(√(64))^2=(4)^2=16 #160; #160; #160; [a^b=(1/a)^ b] ...

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Laws of Exponents

Evaluate √1...

Question

Evaluate $\sqrt[3]{{(\frac{1}{64})}^{- 2}}$ .

4

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16

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32

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64

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Solution

The correct option is D $16$
$\sqrt[3]{(\frac{1}{64})^{- 2}} = \sqrt[3]{(64)^{2}} = (\sqrt[3]{64})^{2} = (4)^{2} = 16$ $[a^{b} = (\frac{1}{a})^{- b}]$

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