Solve {left(-2/3right)}^3*{left(3/5right)}^3

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

Evaluate

$$-\frac{8}{125}=-0.064$$

Solution Steps

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

$$-\frac{8}{27}\times \left(\frac{3}{5}\right)^{3}$$

Calculate \frac{3}{5} to the power of 3 and get \frac{27}{125}.

$$-\frac{8}{27}\times \frac{27}{125}$$

Multiply -\frac{8}{27} times \frac{27}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\times 27}{27\times 125}$$

Cancel out 27 in both numerator and denominator.

$$\frac{-8}{125}$$

Fraction \frac{-8}{125} can be rewritten as -\frac{8}{125} by extracting the negative sign.

$$-\frac{8}{125}$$

Factor

$$-\frac{8}{125} = -0.064$$