Solve {l}{(-3)^0+(-1/2)^-2}{-|-2|}

$$\left. \begin{array}{l}{ ( - 3 ) ^ { 0 } + ( - \frac { 1 } { 2 } ) ^ { - 2 } }\\{ - | - 2 | }\end{array} \right.$$

Sort

$$-2,5$$

Solution Steps

Calculate -3 to the power of 0 and get 1.

$$sort(1+\left(-\frac{1}{2}\right)^{-2},-|-2|)$$

Calculate -\frac{1}{2} to the power of -2 and get 4.

$$sort(1+4,-|-2|)$$

Add 1 and 4 to get 5.

$$sort(5,-|-2|)$$

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.

$$sort(5,-2)$$

To sort the list, start from a single element 5.

$$5$$

Insert -2 to the appropriate location in the new list.

$$-2,5$$

Evaluate

$$5,\ -2$$