Solve (1-0.2/100)^10

$$( 1 - \frac { 0.2 } { 100 } ) ^ { 10 }$$

Evaluate

$$0.980179043351949424651514881024$$

Solution Steps

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$\left(1-\frac{2}{1000}\right)^{10}$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$\left(1-\frac{1}{500}\right)^{10}$$

Subtract \frac{1}{500} from 1 to get \frac{499}{500}.

$$\left(\frac{499}{500}\right)^{10}$$

Calculate \frac{499}{500} to the power of 10 and get \frac{957206097023388110011245001}{976562500000000000000000000}.

$$\frac{957206097023388110011245001}{976562500000000000000000000}$$

Factor

$$\frac{499 ^ {10}}{2 ^ {20} \cdot 5 ^ {30}} = 0.9801790433519494$$