Solve (3/2)^-2:(2/3)^-3=

$$( \frac { 3 } { 2 } ) ^ { - 2 } : ( \frac { 2 } { 3 } ) ^ { - 3 } =$$

Evaluate

$$\frac{32}{243}\approx 0.131687243$$

Solution Steps

Calculate \frac{3}{2} to the power of -2 and get \frac{4}{9}.

$$\frac{\frac{4}{9}}{\left(\frac{2}{3}\right)^{-3}}$$

Calculate \frac{2}{3} to the power of -3 and get \frac{27}{8}.

$$\frac{\frac{4}{9}}{\frac{27}{8}}$$

Divide \frac{4}{9} by \frac{27}{8} by multiplying \frac{4}{9} by the reciprocal of \frac{27}{8}.

$$\frac{4}{9}\times \frac{8}{27}$$

Multiply \frac{4}{9} and \frac{8}{27} to get \frac{32}{243}.

$$\frac{32}{243}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {5}} = 0.13168724279835392$$