Solve 10,000(1+.01/4)^10

$$10,000 ( 1 + \frac { .01 } { 4 } ) ^ { 10 }$$

Evaluate

$$10252.831332277857178421402072906494140625$$

Solution Steps

Expand \frac{0.01}{4} by multiplying both numerator and the denominator by 100.

$$10000\left(1+\frac{1}{400}\right)^{10}$$

Add 1 and \frac{1}{400} to get \frac{401}{400}.

$$10000\times \left(\frac{401}{400}\right)^{10}$$

Calculate \frac{401}{400} to the power of 10 and get \frac{107508728670745863687204001}{104857600000000000000000000}.

$$10000\times \frac{107508728670745863687204001}{104857600000000000000000000}$$

Multiply 10000 and \frac{107508728670745863687204001}{104857600000000000000000000} to get \frac{107508728670745863687204001}{10485760000000000000000}.

$$\frac{107508728670745863687204001}{10485760000000000000000}$$

Factor

$$\frac{401 ^ {10}}{2 ^ {36} \cdot 5 ^ {16}} = 10252\frac{8.717150745866899 \times 10^{21}}{1.048576 \times 10^{22}} = 10252.831332277858$$