Solve (-2/5)^2(2/3)^3

$$( \frac { - 2 } { 5 } ) ^ { 2 } ( \frac { 2 } { 3 } ) ^ { 3 }$$

Evaluate

$$\frac{32}{675}\approx 0.047407407$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

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

Calculate -\frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{4}{25}\times \left(\frac{2}{3}\right)^{3}$$

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

$$\frac{4}{25}\times \frac{8}{27}$$

Multiply \frac{4}{25} and \frac{8}{27} to get \frac{32}{675}.

$$\frac{32}{675}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {3} \cdot 5 ^ {2}} = 0.047407407407407405$$