Solve -4(-4)^2+2/(-4)^2

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

Evaluate

$$-\frac{31}{8}=-3.875$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

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

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

Add -64 and 2 to get -62.

$$\frac{-62}{\left(-4\right)^{2}}$$

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

$$\frac{-62}{16}$$

Reduce the fraction \frac{-62}{16} to lowest terms by extracting and canceling out 2.

$$-\frac{31}{8}$$

Factor

$$-\frac{31}{8} = -3\frac{7}{8} = -3.875$$