Solve 9200[1-(1/1.12)^17]/0.12=

$$9200 [ 1 - ( 1 / 1.12 ) ^ { 17 } ] / 0.12 =$$

Evaluate

$$\frac{214204192161560011070170016}{2793967723846435546875}\approx 76666.666666667$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{9200\left(1-\left(1\times 0.12\right)^{17}\right)}{0.12}$$

Multiply 1 and 0.12 to get 0.12.

$$\frac{9200\left(1-0.12^{17}\right)}{0.12}$$

Calculate 0.12 to the power of 17 and get 0.0000000000000002218611106740436992.

$$\frac{9200\left(1-0.0000000000000002218611106740436992\right)}{0.12}$$

Subtract 0.0000000000000002218611106740436992 from 1 to get 0.9999999999999997781388893259563008.

$$\frac{9200\times 0.9999999999999997781388893259563008}{0.12}$$

Multiply 9200 and 0.9999999999999997781388893259563008 to get 9199.99999999999795887778179879796736.

$$\frac{9199.99999999999795887778179879796736}{0.12}$$

Expand \frac{9199.99999999999795887778179879796736}{0.12} by multiplying both numerator and the denominator by 100000000000000000000000000000000.

$$\frac{919999999999999795887778179879796736}{12000000000000000000000000000000}$$

Reduce the fraction \frac{919999999999999795887778179879796736}{12000000000000000000000000000000} to lowest terms by extracting and canceling out 4294967296.

$$\frac{214204192161560011070170016}{2793967723846435546875}$$

Factor

$$\frac{11 \cdot 23 \cdot 936599 \cdot 28249045416383879 \cdot 2 ^ {5}}{3 \cdot 5 ^ {30}} = 76666\frac{1.8626451491552136 \times 10^{21}}{2.793967723846436 \times 10^{21}} = 76666.66666666664$$