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

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

Evaluate

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

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -3 from 2 to get 5.

$$\left(\frac{2}{3}\right)^{5}$$

Calculate \frac{2}{3} to the power of 5 and get \frac{32}{243}.

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

Factor

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