Question

{(125)^-2×(16)^-3/2}^-1/6​

Answer 1

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$(( {125})^{ - 2} \times (16) ^{ \frac{ - 3}{2}}) ^{ \frac{ - 1}{6} }$

$\fbox\pink{a}\fbox\blue{n}\fbox\purple{s}\fbox\green{w}\fbox\red{e}\fbox\orange{r}$

$((125) ^{ - 2} \times (16) ^{ \frac{ - 3}{2} } ) ^{ \frac{ - 1}{6} } \\ = (( {5}^{3} ) ^{ - 2} \times ( {2}^{4} ) ^{ \frac{ - 3}{2} } ) ^{ \frac{ - 1}{6} } \\ = ( {5}^{3 \times ( - 2)} \times {2}^{4 \times ( \frac{ - 3}{2}) } ) ^{\frac{ - 1}{6} } \\ = ( {5}^{ - 6} \times {2}^{ - 6} ) ^{ \frac{ - 1}{6} } \\ = {5}^{ - 6 \times ( \frac{ - 1}{6}) } \times {2}^{ - 6 \times \frac{ - 1}{6} } \\ = {5}^{1} \times {2}^{1} \\ = 5 \times 2 \\ = 10$

$\fbox\pink{hope}\fbox\blue{it}\fbox\purple{helps}\fbox\green{you}\fbox\red{mate}$