Solve -1/8-6^2--6-2

$$- \frac{ 1 }{ 8 } { -6 }^{ 2 } --6-2$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Calculate -6 to the power of 2 and get 36.

$$-\frac{1}{8}\times 36-\left(-6\right)-2$$

Express -\frac{1}{8}\times 36 as a single fraction.

$$\frac{-36}{8}-\left(-6\right)-2$$

Reduce the fraction \frac{-36}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{9}{2}-\left(-6\right)-2$$

The opposite of -6 is 6.

$$-\frac{9}{2}+6-2$$

Convert 6 to fraction \frac{12}{2}.

$$-\frac{9}{2}+\frac{12}{2}-2$$

Since -\frac{9}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+12}{2}-2$$

Add -9 and 12 to get 3.

$$\frac{3}{2}-2$$

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{3}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 3 to get -1.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$