Solve 22001.03^20-1/0.041

$$2200 \frac{ { 1.03 }^{ 20 } -1 }{ 0.041 }$$

Evaluate

$$43254.74917738318014307534821170236439142$$

Solution Steps

Calculate 1.03 to the power of 20 and get 1.8061112346694138117573133075817258818401.

$$2200\times \frac{1.8061112346694138117573133075817258818401-1}{0.041}$$

Subtract 1 from 1.8061112346694138117573133075817258818401 to get 0.8061112346694138117573133075817258818401.

$$2200\times \frac{0.8061112346694138117573133075817258818401}{0.041}$$

Expand \frac{0.8061112346694138117573133075817258818401}{0.041} by multiplying both numerator and the denominator by 10000000000000000000000000000000000000000.

$$2200\times \frac{8061112346694138117573133075817258818401}{410000000000000000000000000000000000000}$$

Reduce the fraction \frac{8061112346694138117573133075817258818401}{410000000000000000000000000000000000000} to lowest terms by extracting and canceling out 41.

$$2200\times \frac{196612496260832637013978855507738019961}{10000000000000000000000000000000000000}$$

Express 2200\times \frac{196612496260832637013978855507738019961}{10000000000000000000000000000000000000} as a single fraction.

$$\frac{2200\times 196612496260832637013978855507738019961}{10000000000000000000000000000000000000}$$

Multiply 2200 and 196612496260832637013978855507738019961 to get 432547491773831801430753482117023643914200.

$$\frac{432547491773831801430753482117023643914200}{10000000000000000000000000000000000000}$$

Reduce the fraction \frac{432547491773831801430753482117023643914200}{10000000000000000000000000000000000000} to lowest terms by extracting and canceling out 200.

$$\frac{2162737458869159007153767410585118219571}{50000000000000000000000000000000000}$$