Question

14. Simplify: {-2/3}^4×216/125÷(6/5)^2×4/9​

Answer 1

Answer:

$\frac{( - \frac{ 2}{3})^{4} \times \frac{216}{125} }{( \frac{6}{5}) ^{2} \times \frac{4}{9} } \\ = \frac{( - \frac{ 2}{3})^{4} \times (\frac{6}{5} ) ^{3} }{( \frac{6}{5}) ^{2} \times (\frac{2}{3} ) ^{2} } \\ = ( - \frac{2}{3} ) ^{2} \times \frac{6}{5} \\ = \\ = \frac{4}{9} \times \frac{6}{5} \\ = \frac{8}{15}$