Question

Compute.
\[ \left(\dfrac 8 3\right)^{-2} \cdot \left(\dfrac 3 4\right)^{-3}\]

Answer 1

`\left(\cfrac{8}{3}\right)^(-2) \left(\cfrac{3}{4}\right)^(-3)\implies \left(\cfrac{3}{8}\right)^(+2) \left(\cfrac{4}{3}\right)^(+3)\implies \cfrac{3^2}{8^2}\cdot \cfrac{4^3}{3^3}\implies \cfrac{4^3}{8^2}\cdot \cfrac{3^2}{3^3} \\\\\\ \cfrac{64}{64}\cdot \cfrac{1}{3}\implies 1\cdot \cfrac{1}{3}\implies \cfrac{1}{3}`