Solve =10000*(1+5%)^5

$$= 10000 \times ( 1 + 5 \% ) ^ { 5 }$$

Evaluate

$$\frac{4084101}{320}=12762.815625$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$10000\left(1+\frac{1}{20}\right)^{5}$$

Add 1 and \frac{1}{20} to get \frac{21}{20}.

$$10000\times \left(\frac{21}{20}\right)^{5}$$

Calculate \frac{21}{20} to the power of 5 and get \frac{4084101}{3200000}.

$$10000\times \frac{4084101}{3200000}$$

Multiply 10000 and \frac{4084101}{3200000} to get \frac{4084101}{320}.

$$\frac{4084101}{320}$$

Factor

$$\frac{3 ^ {5} \cdot 7 ^ {5}}{2 ^ {6} \cdot 5} = 12762\frac{261}{320} = 12762.815625$$