Solve (pi-3)^0-(-5)^-1+(-5)^-3

$$( \pi - 3 ) ^ { 0 } - ( - 5 ) ^ { - 1 } + ( - 5 ) ^ { - 3 }$$

Evaluate

$$\frac{149}{125}=1.192$$

Solution Steps

Calculate \pi -3 to the power of 0 and get 1.

$$1-\left(-5\right)^{-1}+\left(-5\right)^{-3}$$

Calculate -5 to the power of -1 and get -\frac{1}{5}.

$$1-\left(-\frac{1}{5}\right)+\left(-5\right)^{-3}$$

The opposite of -\frac{1}{5} is \frac{1}{5}.

$$1+\frac{1}{5}+\left(-5\right)^{-3}$$

Add 1 and \frac{1}{5} to get \frac{6}{5}.

$$\frac{6}{5}+\left(-5\right)^{-3}$$

Calculate -5 to the power of -3 and get -\frac{1}{125}.

$$\frac{6}{5}-\frac{1}{125}$$

Subtract \frac{1}{125} from \frac{6}{5} to get \frac{149}{125}.

$$\frac{149}{125}$$

Factor

$$\frac{149}{5 ^ {3}} = 1\frac{24}{125} = 1.192$$