Solve 11001.0225^12-1/0.0225

$$1100 \frac{ { 1.0225 }^{ 12 } -1 }{ 0.0225 }$$

Evaluate

$$14962.443950058887987823224707839488983154296875$$

Solution Steps

Calculate 1.0225 to the power of 12 and get 1.306049989887568163387293232660353183746337890625.

$$1100\times \frac{1.306049989887568163387293232660353183746337890625-1}{0.0225}$$

Subtract 1 from 1.306049989887568163387293232660353183746337890625 to get 0.306049989887568163387293232660353183746337890625.

$$1100\times \frac{0.306049989887568163387293232660353183746337890625}{0.0225}$$

Expand \frac{0.306049989887568163387293232660353183746337890625}{0.0225} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000.

$$1100\times \frac{306049989887568163387293232660353183746337890625}{22500000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{306049989887568163387293232660353183746337890625}{22500000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 536441802978515625.

$$1100\times \frac{570518531904616310207990024409}{41943040000000000000000000000}$$

Express 1100\times \frac{570518531904616310207990024409}{41943040000000000000000000000} as a single fraction.

$$\frac{1100\times 570518531904616310207990024409}{41943040000000000000000000000}$$

Multiply 1100 and 570518531904616310207990024409 to get 627570385095077941228789026849900.

$$\frac{627570385095077941228789026849900}{41943040000000000000000000000}$$

Reduce the fraction \frac{627570385095077941228789026849900}{41943040000000000000000000000} to lowest terms by extracting and canceling out 100.

$$\frac{6275703850950779412287890268499}{419430400000000000000000000}$$

Factor

$$\frac{3 \cdot 7 \cdot 11 \cdot 13 \cdot 61 \cdot 67 \cdot 293 \cdot 349 \cdot 809 \cdot 1117 \cdot 163627 \cdot 33818377}{2 ^ {42} \cdot 5 ^ {20}} = 14962\frac{1.862061507788246 \times 10^{26}}{4.194304 \times 10^{26}} = 14962.443950058887$$