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Popular >

simplify (\sqrt[4]{5})^{2^'}

Solution

simplify

Solution

5^{2^{' - 2}}

Solution steps

Apply radical rule:

= (5^{\frac{1}{4}})^{2^{^{^{'}}}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 5^{\frac{1}{4} \cdot 2^{^{^{'}}}}

Simplify

\frac{1}{4} \cdot 2^{^{'}} : 2^{^{'} - 2}

= 5^{2^{^{'} - 2}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{5})^{2^'} ?
The solution to (\sqrt[4]{5})^{2^'} is 5^{2^{'-2}}