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

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

Evaluate

$$-1$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

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

$$2-\frac{4}{3}\times \frac{9}{4}$$

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

$$2-\frac{4\times 9}{3\times 4}$$

Cancel out 4 in both numerator and denominator.

$$2-\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$2-3$$

Subtract 3 from 2 to get -1.

$$-1$$

Factor

$$-1$$