Solve -2^2*(1/2)^2+sqrt[3]{-64}div|-2|

$$- 2 ^ { 2 } \times ( \frac { 1 } { 2 } ) ^ { 2 } + \sqrt[ 3 ] { - 64 } \div | - 2 |$$

Evaluate

$$-3$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$-4\times \left(\frac{1}{2}\right)^{2}+\frac{\sqrt[3]{-64}}{|-2|}$$

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

$$-4\times \frac{1}{4}+\frac{\sqrt[3]{-64}}{|-2|}$$

Multiply -4 and \frac{1}{4} to get -1.

$$-1+\frac{\sqrt[3]{-64}}{|-2|}$$

Calculate \sqrt[3]{-64} and get -4.

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

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.

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

Divide -4 by 2 to get -2.

$$-1-2$$

Subtract 2 from -1 to get -3.

$$-3$$

Factor

$$-3$$