Solve 2+2^-1-{left(1/2right)}^-1-{left(1/2right)}^1+2^0

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

Evaluate

$$1$$

Solution Steps

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

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

Add 2 and \frac{1}{2} to get \frac{5}{2}.

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

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

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

Subtract 2 from \frac{5}{2} to get \frac{1}{2}.

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

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

$$\frac{1}{2}-\frac{1}{2}+2^{0}$$

Subtract \frac{1}{2} from \frac{1}{2} to get 0.

$$0+2^{0}$$

Calculate 2 to the power of 0 and get 1.

$$0+1$$

Add 0 and 1 to get 1.

$$1$$

Factor

$$1$$