Question

Please tell me all answers answer is 32/81 or 2^5/ 3^4​

Answer 1

Answer:

The answer is $\frac{32}{81}$

Step-by-step explanation:

$(\frac{2}{3})^6$ × $(\frac{1}{3})^{-4}$ × $\frac{1}{3}$ × $\frac{1}{6}$    [$(a^{m})^n = a^{mn}$  and  $a^{-1} = \frac{1}{a}$

= $\frac{2^6}{3^6}$ × $3^{4}$ × $\frac{1}{18}$              [$(\frac{a}{b})^{m} = \frac{a^m}{b^m}$]

= $\frac{64}{729}$ × ${81}$ × $\frac{1}{18}$  

= $\frac{32}{81}$