Solve 1-1,05^-10/0,05

$$\frac { 1 - 1,05 ^ { - 10 } } { 0,05 }$$

Evaluate

$$19,999997952$$

Solution Steps

Calculate 5 to the power of -10 and get \frac{1}{9765625}.

$$\frac{1-1\times \frac{1}{9765625}}{0,05}$$

Multiply 1 and \frac{1}{9765625} to get \frac{1}{9765625}.

$$\frac{1-\frac{1}{9765625}}{0,05}$$

Subtract \frac{1}{9765625} from 1 to get \frac{9765624}{9765625}.

$$\frac{\frac{9765624}{9765625}}{0,05}$$

Express \frac{\frac{9765624}{9765625}}{0,05} as a single fraction.

$$\frac{9765624}{9765625\times 0,05}$$

Multiply 9765625 and 0,05 to get 488281,25.

$$\frac{9765624}{488281,25}$$

Expand \frac{9765624}{488281,25} by multiplying both numerator and the denominator by 100.

$$\frac{976562400}{48828125}$$

Reduce the fraction \frac{976562400}{48828125} to lowest terms by extracting and canceling out 25.

$$\frac{39062496}{1953125}$$

Factor

$$\frac{3 \cdot 11 \cdot 71 \cdot 521 \cdot 2 ^ {5}}{5 ^ {9}} = 19\frac{1953121}{1953125} = 19.999997952$$