Solve -1^2/2-(-1)-2^2/2-2=

$$\frac{ - { 1 }^{ 2 } }{ 2 } -(-1)- \frac{ { 2 }^{ 2 } }{ 2 } -2=$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

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

Calculate 1 to the power of 2 and get 1.

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

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

The opposite of -1 is 1.

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

Convert 1 to fraction \frac{2}{2}.

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

Since -\frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Add -1 and 2 to get 1.

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

Calculate 2 to the power of 1 and get 2.

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

Convert 2 to fraction \frac{4}{2}.

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

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

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

Subtract 4 from 1 to get -3.

$$-\frac{3}{2}-2$$

Convert 2 to fraction \frac{4}{2}.

$$-\frac{3}{2}-\frac{4}{2}$$

Since -\frac{3}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-4}{2}$$

Subtract 4 from -3 to get -7.

$$-\frac{7}{2}$$

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$