Solve (1)2^2-2^-2+(-2)^-2

$$( 1 ) 2 ^ { 2 } - 2 ^ { - 2 } + ( - 2 ) ^ { - 2 }$$

Evaluate

$$4$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

Multiply 1 and 4 to get 4.

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

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

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

Subtract \frac{1}{4} from 4 to get \frac{15}{4}.

$$\frac{15}{4}+\left(-2\right)^{-2}$$

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

$$\frac{15}{4}+\frac{1}{4}$$

Add \frac{15}{4} and \frac{1}{4} to get 4.

$$4$$

Factor

$$2^{2}$$