Solve (-2/7)^2*(2/-3)^3

$$( \frac { - 2 } { 7 } ) ^ { 2 } \times ( \frac { 2 } { - 3 } ) ^ { 3 }$$

Evaluate

$$-\frac{32}{1323}\approx -0.024187453$$

Solution Steps

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$\left(-\frac{2}{7}\right)^{2}\times \left(\frac{2}{-3}\right)^{3}$$

Calculate -\frac{2}{7} to the power of 2 and get \frac{4}{49}.

$$\frac{4}{49}\times \left(\frac{2}{-3}\right)^{3}$$

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\frac{4}{49}\left(-\frac{2}{3}\right)^{3}$$

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

$$\frac{4}{49}\left(-\frac{8}{27}\right)$$

Multiply \frac{4}{49} and -\frac{8}{27} to get -\frac{32}{1323}.

$$-\frac{32}{1323}$$

Factor

$$-\frac{32}{1323} = -0.02418745275888133$$