Question

The value of $(81/625)^{-3/4}$ is

Answer 1

Answer:

4.62962963 or 125/27

Step-by-step explanation:

$\frac{ {\sqrt[4]{81}}^{ - 3} }{ {\sqrt[4]{625}}^{ - 3} } \\ = \frac{{3}^{ - 3}}{ {5}^{ - 3} } \\ = \frac{\frac{1}{ {3}^{3} }}{ \frac{1}{ {5}^{3} } } \\ = \frac{1}{27} \times \frac{125}{1} \\ = \frac{125}{27} \\ = 4.62962963$