Question

find the value :(125/64)^-2/3​

Answer 1

Answer:

(125/64) -⅔

=(5³/4³)-⅔

=((5/4)³) -⅔

=(5/4) -²

= (4/5)²

=16/25

hope it helps..

Answer 2

Answer:

${ (\frac{125}{64} )}^{ \frac{ - 2}{3} } \\ { ({ (\frac{5}{4} )}^{3}) }^{ \frac{ - 2}{3} } \\ {( \frac{5}{4}) }^{3 \times \frac{ - 2}{3} } \\ { (\frac{5}{4} )}^{ - 2} \\ { (\frac{4}{5} )}^{2} \\ \frac{ {4}^{2} }{ {5}^{2} } \\ \frac{16}{25}$

Step-by-step explanation:

hope it will help you..