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

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

Evaluate

$$-3$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

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

$$-\frac{4}{3}\times \frac{9}{4}$$

Multiply -\frac{4}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 9}{3\times 4}$$

Do the multiplications in the fraction \frac{-4\times 9}{3\times 4}.

$$\frac{-36}{12}$$

Divide -36 by 12 to get -3.

$$-3$$

Factor

$$-3$$