Question

Evaluate: ${\left(\frac{5}{9}\right)}^{-2}\times {\left(\frac{3}{5}\right)}^{-3}\times {\left(\frac{3}{5}\right)}^0$

Answer 1

We have

${\left(\frac{5}{9}\right)}^{-2}\times {\left(\frac{3}{5}\right)}^{-3}\times {\left(\frac{3}{5}\right)}^0$

$={\left(\frac{9}{5}\right)}^2\times {\left(\frac{5}{3}\right)}^3\times {\left(\frac{3}{5}\right)}^0$

$=\left(\frac{81}{25}\right)\times \left(\frac{125}{27}\right)\times 1$

$=3\times 5$

$=15$