Solve -2/-2^2-6-2/-2^4

$$- \frac{ 2 }{ { -2 }^{ 2 } } - \frac{ 6-2 }{ { -2 }^{ 4 } }$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

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

$$-\frac{2}{4}-\frac{6-2}{\left(-2\right)^{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}-\frac{6-2}{\left(-2\right)^{4}}$$

Subtract 2 from 6 to get 4.

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

Calculate -2 to the power of 4 and get 16.

$$-\frac{1}{2}-\frac{4}{16}$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

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

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

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

Since -\frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -2 to get -3.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$