Solve 15000(1+7.1%)^6

$$15000 ( 1 + 7.1 \% ) ^ { 6 }$$

Evaluate

$$22637.480230370848815$$

Solution Steps

Expand \frac{7.1}{100} by multiplying both numerator and the denominator by 10.

$$15000\left(1+\frac{71}{1000}\right)^{6}$$

Add 1 and \frac{71}{1000} to get \frac{1071}{1000}.

$$15000\times \left(\frac{1071}{1000}\right)^{6}$$

Calculate \frac{1071}{1000} to the power of 6 and get \frac{1509165348691389921}{1000000000000000000}.

$$15000\times \frac{1509165348691389921}{1000000000000000000}$$

Multiply 15000 and \frac{1509165348691389921}{1000000000000000000} to get \frac{4527496046074169763}{200000000000000}.

$$\frac{4527496046074169763}{200000000000000}$$

Factor

$$\frac{3 ^ {13} \cdot 7 ^ {6} \cdot 17 ^ {6}}{2 ^ {15} \cdot 5 ^ {14}} = 22637\frac{96046074169856}{200000000000000} = 22637.48023037085$$