We want to evaluate:
[tex](\frac{1000}{216})^{\frac{-2}{3}}\cdot\text{ }\frac{10}{36}[/tex]This is the same thing as:
[tex](\frac{216}{1000})^{\frac{2}{3}}\cdot\text{ }\frac{10}{36}[/tex]Simplifying this, we have:
[tex](\frac{6\text{ }}{10})^2\cdot\frac{10}{36}[/tex][tex]=\text{ }\frac{36}{100}*\frac{10}{36}[/tex][tex]\frac{1}{10}[/tex]That is the answer
