Question

Simplify : (2⁵)⅓× (2⁴)⅓​

Answer 1

Answer:

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

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