Solve 5000(1+11%)^45=

$$5000 ( 1 + 11 \% ) ^ { 45 } =$$

Evaluate

$$\frac{109530241541875983671166404158770002521770932870286897634598536771897829763938931197487723951}{200000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 547651.20770938$$

Solution Steps

Add 1 and \frac{11}{100} to get \frac{111}{100}.

$$5000\times \left(\frac{111}{100}\right)^{45}$$

Calculate \frac{111}{100} to the power of 45 and get \frac{109530241541875983671166404158770002521770932870286897634598536771897829763938931197487723951}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$5000\times \frac{109530241541875983671166404158770002521770932870286897634598536771897829763938931197487723951}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 5000 and \frac{109530241541875983671166404158770002521770932870286897634598536771897829763938931197487723951}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{109530241541875983671166404158770002521770932870286897634598536771897829763938931197487723951}{200000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{109530241541875983671166404158770002521770932870286897634598536771897829763938931197487723951}{200000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {45} \cdot 37 ^ {45}}{2 ^ {87} \cdot 5 ^ {86}} = 547651\frac{4.15418759816609 \times 10^{85}}{2 \times 10^{86}} = 547651.20770938$$