Question

simplify (8/125)^-2/3 × (625/16)^-3/4​

Answer 1

Step-by-step explanation:

${ (\frac{8}{125}) }^{ \frac{ - 2}{3} } \times { (\frac{625}{16}) }^{ \frac{ - 3}{4} }$

$= { (\frac{2}{5}) }^{ - 2} \times {(\frac{5}{2}) }^{ - 3}$

$= {(\frac{5}{2})}^{2} \times { (\frac{5}{2}) }^{ - 3}$

$= { (\frac{5}{2}) }^{2 - 3} = { (\frac{5}{2} )}^{ - 1} = \frac{2}{5} = 0.4$

Therefore, it is your answer.

I hope it helps you. If you have any doubts, then don't hesitate to ask.