Solve 100000(1+6%)^15

$$100000 ( 1 + 6 \% ) ^ { 15 }$$

Evaluate

$$\frac{73137151889028619724488157}{305175781250000000000}\approx 239655.819309969$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$100000\left(1+\frac{3}{50}\right)^{15}$$

Add 1 and \frac{3}{50} to get \frac{53}{50}.

$$100000\times \left(\frac{53}{50}\right)^{15}$$

Calculate \frac{53}{50} to the power of 15 and get \frac{73137151889028619724488157}{30517578125000000000000000}.

$$100000\times \frac{73137151889028619724488157}{30517578125000000000000000}$$

Multiply 100000 and \frac{73137151889028619724488157}{30517578125000000000000000} to get \frac{73137151889028619724488157}{305175781250000000000}.

$$\frac{73137151889028619724488157}{305175781250000000000}$$

Factor

$$\frac{53 ^ {15}}{2 ^ {10} \cdot 5 ^ {25}} = 239655\frac{2.5003355986077582 \times 10^{20}}{3.0517578125000004 \times 10^{20}} = 239655.81930996894$$