Solve -2^4div4/9*(-3/2)^2

$$- 2 ^ { 4 } \div \frac { 4 } { 9 } \times ( - \frac { 3 } { 2 } ) ^ { 2 }$$

Evaluate

$$-81$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{-16}{\frac{4}{9}}\left(-\frac{3}{2}\right)^{2}$$

Divide -16 by \frac{4}{9} by multiplying -16 by the reciprocal of \frac{4}{9}.

$$-16\times \frac{9}{4}\left(-\frac{3}{2}\right)^{2}$$

Express -16\times \frac{9}{4} as a single fraction.

$$\frac{-16\times 9}{4}\left(-\frac{3}{2}\right)^{2}$$

Multiply -16 and 9 to get -144.

$$\frac{-144}{4}\left(-\frac{3}{2}\right)^{2}$$

Divide -144 by 4 to get -36.

$$-36\left(-\frac{3}{2}\right)^{2}$$

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

$$-36\times \frac{9}{4}$$

Express -36\times \frac{9}{4} as a single fraction.

$$\frac{-36\times 9}{4}$$

Multiply -36 and 9 to get -324.

$$\frac{-324}{4}$$

Divide -324 by 4 to get -81.

$$-81$$

Factor

$$-81$$