Question

{(2/3)^2}^3*(1/3)^-2*3^-1*1/6

Answer 1

Hey friend..
Here is your answer..

HOPE that it will help you

Answer 2

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Here is your answer.
$(( \frac{2}{3} ) {}^{2} ) {}^{3} \times ( \frac{1}{3} ) {}^{ - 2} \times {3}^{ - 1} \times \frac{1}{6} \\ \\ = ( \frac{2}{3} ) {}^{2 \times 3} \times (3) {}^{2} \times {3}^{ - 1} \times \frac{1}{3 \times 2} \\ \\ = \frac{2 {}^{6} }{ {3}^{6} } \times {3}^{2} \times {3}^{ - 1} \times \frac{1}{ {3}^{1} \times {2}^{1} } \\ \\ = {2}^{6 - 1} \times 3 {}^{2 - 1 - 1 - 6} \\ \\ = {2}^{5} \times {3}^{ - 6} \\ \\ = \frac{ {2}^{5} }{ {3}^{6} } \\ \\ = \frac{32}{729}$
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