Solve 1638*(1+10%)^5-1/10%

$$1638 \times \frac { ( 1 + 10 \% ) ^ { 5 - 1 } } { 10 \% }$$

Evaluate

$$\frac{11990979}{500}=23981.958$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$1638\times \frac{\left(1+\frac{1}{10}\right)^{5-1}}{\frac{10}{100}}$$

Add 1 and \frac{1}{10} to get \frac{11}{10}.

$$1638\times \frac{\left(\frac{11}{10}\right)^{5-1}}{\frac{10}{100}}$$

Subtract 1 from 5 to get 4.

$$1638\times \frac{\left(\frac{11}{10}\right)^{4}}{\frac{10}{100}}$$

Calculate \frac{11}{10} to the power of 4 and get \frac{14641}{10000}.

$$1638\times \frac{\frac{14641}{10000}}{\frac{10}{100}}$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$1638\times \frac{\frac{14641}{10000}}{\frac{1}{10}}$$

Divide \frac{14641}{10000} by \frac{1}{10} by multiplying \frac{14641}{10000} by the reciprocal of \frac{1}{10}.

$$1638\times \frac{14641}{10000}\times 10$$

Multiply \frac{14641}{10000} and 10 to get \frac{14641}{1000}.

$$1638\times \frac{14641}{1000}$$

Multiply 1638 and \frac{14641}{1000} to get \frac{11990979}{500}.

$$\frac{11990979}{500}$$

Factor

$$\frac{3 ^ {2} \cdot 7 \cdot 11 ^ {4} \cdot 13}{2 ^ {2} \cdot 5 ^ {3}} = 23981\frac{479}{500} = 23981.958$$