Solve -2^2/2+5^0+(1/2)^2

$$- \frac { 2 ^ { 2 } } { 2 } + 5 ^ { 0 } + ( \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

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

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.

$$-2^{1}+5^{0}+\left(\frac{1}{2}\right)^{2}$$

Calculate 2 to the power of 1 and get 2.

$$-2+5^{0}+\left(\frac{1}{2}\right)^{2}$$

Calculate 5 to the power of 0 and get 1.

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

Add -2 and 1 to get -1.

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

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

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

Add -1 and \frac{1}{4} to get -\frac{3}{4}.

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

Factor

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