Question

Find the reciprocal of (2/3)^4​

Answer 1

Answer:

(3/2)^4

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Answer 2

Answer:

$( \frac{2}{3} ) ^{4} = \frac{2 ^{4} }{ {3}^{4} } = \frac{16}{81} \\ \red{now } \\ reciprocal \: = \frac{81}{16} \\ that \: is \: equal \: to \: = \frac{3 ^{4} }{ {2}^{4} } \\ \\ so \: the \: reciprocal \: is (\red{ \frac{3}{2 } }) ^{4}$