Question

solve 81by16 the whole raised to -3by4 multiplied by 25 by 9 ihe whole raised to -3by 2 multiplied by 2 by 5 the whole raised to -3 the whole divided by 125raised to 2 by 3 multiplied by 8 the whole raised to 4 bt 3

Answer 1

$$\begin{gathered} \frac{{\left({\displaystyle \frac{81}{16}}\right)}^{-3/4}\times {\left({\displaystyle \frac{25}{9}}\right)}^{-3/2}\times {\left({\displaystyle \frac{2}{5}}\right)}^{-3}}{{\left(125\right)}^{2/3}\times {\left(8\right)}^{4/3}} \\ =\frac{{\left({\displaystyle \frac{3}{2}}\right)}^{-3}\times {\left({\displaystyle \frac{5}{3}}\right)}^{-3}\times {\left({\displaystyle \frac{2}{5}}\right)}^{-3}}{{\left(5\right)}^2\times {\left(2\right)}^4} \\ =\frac{{\left({\displaystyle \frac{3}{2}}\times {\displaystyle \frac{5}{3}}\times {\displaystyle \frac{2}{5}}\right)}^{-3}}{{\left(5\right)}^2\times {\left(2\right)}^4} \\ =\frac{{\left(1\right)}^{-3}}{25\times 16} \\ =\frac{1}{400} \end{gathered}$$