Solve (-2/3)^2*(-1/6)

$$( - \frac { 2 } { 3 } ) ^ { 2 } \times ( - \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{2}{27}\approx -0.074074074$$

Solution Steps

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

$$\frac{4}{9}\left(-\frac{1}{6}\right)$$

Multiply \frac{4}{9} times -\frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\left(-1\right)}{9\times 6}$$

Do the multiplications in the fraction \frac{4\left(-1\right)}{9\times 6}.

$$\frac{-4}{54}$$

Reduce the fraction \frac{-4}{54} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{27}$$

Factor

$$-\frac{2}{27} = -0.07407407407407407$$