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

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

Evaluate

$$6$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Express -9\left(-\frac{2}{3}\right) as a single fraction.

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

Multiply -9 and -2 to get 18.

$$\frac{3}{2}\left(\frac{18}{3}-2\right)$$

Divide 18 by 3 to get 6.

$$\frac{3}{2}\left(6-2\right)$$

Subtract 2 from 6 to get 4.

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

Express \frac{3}{2}\times 4 as a single fraction.

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

Multiply 3 and 4 to get 12.

$$\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$6$$

Factor

$$2\times 3$$