Solve 1-(1+0.2)^-3/0.2

$$\frac { 1 - ( 1 + 0.2 ) ^ { - 3 } } { 0.2 }$$

Evaluate

$$\frac{455}{216}\approx 2.106481481$$

Solution Steps

Add 1 and 0.2 to get 1.2.

$$\frac{1-1.2^{-3}}{0.2}$$

Calculate 1.2 to the power of -3 and get \frac{125}{216}.

$$\frac{1-\frac{125}{216}}{0.2}$$

Subtract \frac{125}{216} from 1 to get \frac{91}{216}.

$$\frac{\frac{91}{216}}{0.2}$$

Factor

$$\frac{5 \cdot 7 \cdot 13}{2 ^ {3} \cdot 3 ^ {3}} = 2\frac{23}{216} = 2.1064814814814814$$