Solve -2+10-1/22^-1+1/2^2

$$-2+10- \frac{ 1 }{ 2 } { 2 }^{ -1 } + \frac{ 1 }{ { 2 }^{ 2 } }$$

Evaluate

$$8$$

Solution Steps

Add -2 and 10 to get 8.

$$8-\frac{1}{2}\times 2^{-1}+\frac{1}{2^{2}}$$

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

$$8-\frac{1}{2}\times \frac{1}{2}+\frac{1}{2^{2}}$$

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

$$8-\frac{1}{4}+\frac{1}{2^{2}}$$

Subtract \frac{1}{4} from 8 to get \frac{31}{4}.

$$\frac{31}{4}+\frac{1}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{31}{4}+\frac{1}{4}$$

Add \frac{31}{4} and \frac{1}{4} to get 8.

$$8$$

Factor

$$2^{3}$$