Solve (-12/3)^2*(-11/2)^2=

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

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\left(-\frac{3+2}{3}\right)^{2}\left(-\frac{1\times 2+1}{2}\right)^{2}$$

Add 3 and 2 to get 5.

$$\left(-\frac{5}{3}\right)^{2}\left(-\frac{1\times 2+1}{2}\right)^{2}$$

Calculate -\frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$\frac{25}{9}\left(-\frac{1\times 2+1}{2}\right)^{2}$$

Multiply 1 and 2 to get 2.

$$\frac{25}{9}\left(-\frac{2+1}{2}\right)^{2}$$

Add 2 and 1 to get 3.

$$\frac{25}{9}\left(-\frac{3}{2}\right)^{2}$$

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

$$\frac{25}{9}\times \frac{9}{4}$$

Multiply \frac{25}{9} and \frac{9}{4} to get \frac{25}{4}.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$