Solve -1^4-|-8|div(-2)*(-1/2)

$$- 1 ^ { 4 } - | - 8 | \div ( - 2 ) \times ( - \frac { 1 } { 2 } )$$

Evaluate

$$-3$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$-1-\frac{|-8|}{-2}\left(-\frac{1}{2}\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -8 is 8.

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

Divide 8 by -2 to get -4.

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

Express -4\left(-\frac{1}{2}\right) as a single fraction.

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

Multiply -4 and -1 to get 4.

$$-1-\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$-1-2$$

Subtract 2 from -1 to get -3.

$$-3$$

Factor

$$-3$$