Question

Simplify the 5th root of 4th root of 2 the whole power 4 the whole power 3

Answer 1

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$= { ({( \sqrt[5]{ \sqrt[4]{2} } )}^{4}) }^{3} \\ \\ = {( \sqrt[5]{ \sqrt[4]{2} } )}^{(4 \times 3)} \\ \\ = { (\sqrt[4]{2} )}^{ \frac{(4 \times 3)}{5} } \\ \\ = {(2)}^{ \frac{(4 \times 3)}{(5 \times 4)} } \\ \\ = {(2)}^{ \frac{3}{5} } \\ \\ = {(8)}^{ \frac{1}{5} } \\ \\ = \sqrt[5]{8}$
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