Solve -(-3)^2--8/(-2)-|-4|

$$- ( - 3 ) ^ { 2 } - \frac { - 8 } { ( - 2 ) - | - 4 | }$$

Evaluate

$$-\frac{31}{3}\approx -10.333333333$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$-9-\frac{-8}{-2-|-4|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4 is 4.

$$-9-\frac{-8}{-2-4}$$

Subtract 4 from -2 to get -6.

$$-9-\frac{-8}{-6}$$

Reduce the fraction \frac{-8}{-6} to lowest terms by extracting and canceling out -2.

$$-9-\frac{4}{3}$$

Convert -9 to fraction -\frac{27}{3}.

$$-\frac{27}{3}-\frac{4}{3}$$

Since -\frac{27}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-4}{3}$$

Subtract 4 from -27 to get -31.

$$-\frac{31}{3}$$

Factor

$$-\frac{31}{3} = -10\frac{1}{3} = -10.333333333333334$$