Solve (-2)^2div(-2div1/2)-|-3|*(-1)^2015

$$( - 2 ) ^ { 2 } \div ( - 2 \div \frac { 1 } { 2 } ) - | - 3 | \times ( - 1 ) ^ { 2015 }$$

Evaluate

$$2$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$\frac{4}{\frac{-2}{\frac{1}{2}}}-|-3|\left(-1\right)^{2015}$$

Divide -2 by \frac{1}{2} by multiplying -2 by the reciprocal of \frac{1}{2}.

$$\frac{4}{-2\times 2}-|-3|\left(-1\right)^{2015}$$

Multiply -2 and 2 to get -4.

$$\frac{4}{-4}-|-3|\left(-1\right)^{2015}$$

Divide 4 by -4 to get -1.

$$-1-|-3|\left(-1\right)^{2015}$$

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

$$-1-3\left(-1\right)^{2015}$$

Calculate -1 to the power of 2015 and get -1.

$$-1-3\left(-1\right)$$

Multiply 3 and -1 to get -3.

$$-1-\left(-3\right)$$

The opposite of -3 is 3.

$$-1+3$$

Add -1 and 3 to get 2.

$$2$$

Factor

$$2$$