Solve -2^3+(pi-3.14)^0-|-11/2|*(-1/2)^-1

$$- 2 ^ { 3 } + ( \pi - 3.14 ) ^ { 0 } - | - 1 \frac { 1 } { 2 } | \times ( - \frac { 1 } { 2 } ) ^ { - 1 }$$

Evaluate

$$-4$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$-8+\left(\pi -3.14\right)^{0}-|-\frac{1\times 2+1}{2}|\left(-\frac{1}{2}\right)^{-1}$$

Calculate \pi -3.14 to the power of 0 and get 1.

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

Add -8 and 1 to get -7.

$$-7-|-\frac{1\times 2+1}{2}|\left(-\frac{1}{2}\right)^{-1}$$

Multiply 1 and 2 to get 2.

$$-7-|-\frac{2+1}{2}|\left(-\frac{1}{2}\right)^{-1}$$

Add 2 and 1 to get 3.

$$-7-|-\frac{3}{2}|\left(-\frac{1}{2}\right)^{-1}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{3}{2} is \frac{3}{2}.

$$-7-\frac{3}{2}\left(-\frac{1}{2}\right)^{-1}$$

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

$$-7-\frac{3}{2}\left(-2\right)$$

Multiply \frac{3}{2} and -2 to get -3.

$$-7-\left(-3\right)$$

The opposite of -3 is 3.

$$-7+3$$

Add -7 and 3 to get -4.

$$-4$$

Factor

$$-4$$