Question

find the value of (64)1/2 multiple (125)1/3.

Answer 1

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(64)^1/2 (125)^1/3
8*5=40
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Answer 2

$= > {(64)}^{ \frac{1}{2} } \times {(125)}^{ \frac{1}{3} } \\ \\ \\ \\ = > {(2 \times 2 \times 2 \times 2 \times 2 \times 2 )}^{ \frac{1}{2} } \times {(5 \times 5 \times 5)}^{ \frac{1}{3} } \\ \\ \\ \\ = > ( { {2}^{6}) }^{ \frac{1}{2} } \times {( {5}^{3} )}^{ \frac{1}{3} } \\ \\ \\ \\ = > {2}^{ \cancel{6} \: {}^{3} \times \frac{1}{ \cancel{2}} } \times {5}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } \\ \\ \\ \\ = > {2}^{3} \times {5}^{1} \\ \\ \\ \\ = > 8 \times 5 \\ \\ \\ = > 40$