Solve |-2|-20|8^circ+(1/2)^-1

$$| - 2 | - 20 | 8 ^ { \circ } + ( \frac { 1 } { 2 } ) ^ { - 1 }$$

Evaluate

$$-198$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$2-20|8+\left(\frac{1}{2}\right)^{-1}|$$

Calculate \frac{1}{2} to the power of -1 and get 2.

$$2-20|8+2|$$

Add 8 and 2 to get 10.

$$2-20|10|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 10 is 10.

$$2-20\times 10$$

Multiply 20 and 10 to get 200.

$$2-200$$

Subtract 200 from 2 to get -198.

$$-198$$

Factor

$$-198$$