Solve -2^2-left|-12right|*(2/3-3/4)

$$- { 2 }^{ 2 } - \left| -12 \right| \times ( \frac{ 2 }{ 3 } - \frac{ 3 }{ 4 } )$$

Evaluate

$$-3$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$-4-|-12|\left(\frac{2}{3}-\frac{3}{4}\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -12 is 12.

$$-4-12\left(\frac{2}{3}-\frac{3}{4}\right)$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{3}{4} to fractions with denominator 12.

$$-4-12\left(\frac{8}{12}-\frac{9}{12}\right)$$

Since \frac{8}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$-4-12\times \frac{8-9}{12}$$

Subtract 9 from 8 to get -1.

$$-4-12\left(-\frac{1}{12}\right)$$

Cancel out 12 and 12.

$$-4-\left(-1\right)$$

The opposite of -1 is 1.

$$-4+1$$

Add -4 and 1 to get -3.

$$-3$$

Factor

$$-3$$