Solve (-1/3)^-2+(20/4-sqrt{6})^0+(-1)^2014-(-2)^-1

$$( - \frac { 1 } { 3 } ) ^ { - 2 } + ( 20 / 4 - \sqrt { 6 } ) ^ { 0 } + ( - 1 ) ^ { 2014 } - ( - 2 ) ^ { - 1 }$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Calculate -\frac{1}{3} to the power of -2 and get 9.

$$9+\left(\frac{20}{4}-\sqrt{6}\right)^{0}+\left(-1\right)^{2014}-\left(-2\right)^{-1}$$

Divide 20 by 4 to get 5.

$$9+\left(5-\sqrt{6}\right)^{0}+\left(-1\right)^{2014}-\left(-2\right)^{-1}$$

Calculate 5-\sqrt{6} to the power of 0 and get 1.

$$9+1+\left(-1\right)^{2014}-\left(-2\right)^{-1}$$

Add 9 and 1 to get 10.

$$10+\left(-1\right)^{2014}-\left(-2\right)^{-1}$$

Calculate -1 to the power of 2014 and get 1.

$$10+1-\left(-2\right)^{-1}$$

Add 10 and 1 to get 11.

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

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

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

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$11+\frac{1}{2}$$

Add 11 and \frac{1}{2} to get \frac{23}{2}.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$