Solve x=(2^0+2^-1)(2^0-2^-1)

$$x = ( 2 ^ { 0 } + 2 ^ { - 1 } ) ( 2 ^ { 0 } - 2 ^ { - 1 } )$$

Solve for x

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

Steps for Solving Linear Equation

Calculate 2 to the power of 0 and get 1.

$$x=\left(1+2^{-1}\right)\left(2^{0}-2^{-1}\right)$$

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

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

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$x=\frac{3}{2}\left(2^{0}-2^{-1}\right)$$

Calculate 2 to the power of 0 and get 1.

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

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

$$x=\frac{3}{2}\left(1-\frac{1}{2}\right)$$

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

$$x=\frac{3}{2}\times \frac{1}{2}$$

Multiply \frac{3}{2} and \frac{1}{2} to get \frac{3}{4}.

$$x=\frac{3}{4}$$

Assign x

$$x≔\frac{3}{4}$$