Answer: 1.5625
Step-by-step explanation:
[tex]\bigg (\dfrac{64}{125}\bigg )^{-\frac{2}{3} } =\bigg (\dfrac{125}{64}\bigg )^{\frac{2}{3} } = \sqrt[3]{\bigg (\dfrac{125}{64} \bigg ) ^{2}} = \sqrt[3]{\bigg ( \bigg (\dfrac{5}{4} \bigg ) ^{2}\bigg) ^{3} }= \bigg (\dfrac{5}{4}\bigg )^{2}=\dfrac{25}{16} =1.5625[/tex]
