Question

$\frac{1}{ \sqrt[2]{4 {}^{ - 5} } }$
simplify








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Answer 1

Answer:

$32$

Step-by-step explanation:

$\dfrac{1}{\sqrt{4^{-5}}}$

$= \dfrac{1}{\left(\sqrt{2^2}\right)^{-5}}$

$= \dfrac{1}{2^{-5}}$

$= 2^{{-5}^{-1}}$

$= 2^{{-5}\cdot{-1}}$

$= 2^5 = \boxed{32}$