Solve 5(-4)+(-4)^2/-frac{1{2}(-4)^3}

$$\frac { 5 ( - 4 ) + ( - 4 ) ^ { 2 } } { - \frac { 1 } { 2 } ( - 4 ) ^ { 3 } }$$

Evaluate

$$-\frac{1}{8}=-0.125$$

Solution Steps

Multiply 5 and -4 to get -20.

$$\frac{-20+\left(-4\right)^{2}}{-\frac{1}{2}\left(-4\right)^{3}}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{-20+16}{-\frac{1}{2}\left(-4\right)^{3}}$$

Add -20 and 16 to get -4.

$$\frac{-4}{-\frac{1}{2}\left(-4\right)^{3}}$$

Calculate -4 to the power of 3 and get -64.

$$\frac{-4}{-\frac{1}{2}\left(-64\right)}$$

Express -\frac{1}{2}\left(-64\right) as a single fraction.

$$\frac{-4}{\frac{-\left(-64\right)}{2}}$$

Multiply -1 and -64 to get 64.

$$\frac{-4}{\frac{64}{2}}$$

Divide 64 by 2 to get 32.

$$\frac{-4}{32}$$

Reduce the fraction \frac{-4}{32} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{8}$$

Factor

$$-\frac{1}{8} = -0.125$$