Question

Evaluate:
$8^{\frac{5}{3} }$

(An explanation would be appreciated.)

Answer 1

${8}^{ \frac{5}{3} } \\ = { ({2}^{3} )}^{ \frac{5}{3} } \\ = {2}^{3 \times \frac{5}{3} } \\ = {2}^{5} \\ = 32.$

Here, we have converted 8 to 2³.

Then, we have used formula (a^m) ^n = a^mn.

Hope this will help you. 

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