Question

Find the value of $(\frac{2}{3}{)}^5\times 3^6\times \frac{1}{8}\times \frac{1}{6}$.
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Answer 1

Simplifying $(\frac{2}{3}{)}^5\times 3^6\times \frac{1}{8}\times \frac{1}{6}$,

we get $\left(\frac{2^5}{3^5}\right)\times 3^6\times \frac{1}{2^3}\times \frac{1}{2\times 3}$
= $\frac{2^5\times 3^6}{3^5\times 2^3\times 2\times 3}$

= $\frac{2^5\times 3^6}{3^6\times 2^4}$

$=2$