Solve (3)2^0-2^-2+(-1/2)^2

$$( 3 ) 2 ^ { 0 } - 2 ^ { - 2 } + ( - \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

$$3$$

Solution Steps

Calculate 2 to the power of 0 and get 1.

$$3\times 1-2^{-2}+\left(-\frac{1}{2}\right)^{2}$$

Multiply 3 and 1 to get 3.

$$3-2^{-2}+\left(-\frac{1}{2}\right)^{2}$$

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

$$3-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2}$$

Subtract \frac{1}{4} from 3 to get \frac{11}{4}.

$$\frac{11}{4}+\left(-\frac{1}{2}\right)^{2}$$

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

$$\frac{11}{4}+\frac{1}{4}$$

Add \frac{11}{4} and \frac{1}{4} to get 3.

$$3$$

Factor

$$3$$