Solve {left(-3/4right)}^3*{left(-2/3right)}^2

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

Evaluate

$$-\frac{3}{16}=-0.1875$$

Solution Steps

Calculate -\frac{3}{4} to the power of 3 and get -\frac{27}{64}.

$$-\frac{27}{64}\left(-\frac{2}{3}\right)^{2}$$

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

$$-\frac{27}{64}\times \frac{4}{9}$$

Multiply -\frac{27}{64} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-27\times 4}{64\times 9}$$

Do the multiplications in the fraction \frac{-27\times 4}{64\times 9}.

$$\frac{-108}{576}$$

Reduce the fraction \frac{-108}{576} to lowest terms by extracting and canceling out 36.

$$-\frac{3}{16}$$

Factor

$$-\frac{3}{16} = -0.1875$$