Solve 10000(1+6%/12)^12=

$$10000 ( 1 + \frac { 6 \% } { 12 } ) ^ { 12 } =$$

Evaluate

$$\frac{4348632317396990233762642401}{409600000000000000000000}=10616.778118645$$

Solution Steps

Express \frac{\frac{6}{100}}{12} as a single fraction.

$$10000\left(1+\frac{6}{100\times 12}\right)^{12}$$

Multiply 100 and 12 to get 1200.

$$10000\left(1+\frac{6}{1200}\right)^{12}$$

Reduce the fraction \frac{6}{1200} to lowest terms by extracting and canceling out 6.

$$10000\left(1+\frac{1}{200}\right)^{12}$$

Add 1 and \frac{1}{200} to get \frac{201}{200}.

$$10000\times \left(\frac{201}{200}\right)^{12}$$

Calculate \frac{201}{200} to the power of 12 and get \frac{4348632317396990233762642401}{4096000000000000000000000000}.

$$10000\times \frac{4348632317396990233762642401}{4096000000000000000000000000}$$

Multiply 10000 and \frac{4348632317396990233762642401}{4096000000000000000000000000} to get \frac{4348632317396990233762642401}{409600000000000000000000}.

$$\frac{4348632317396990233762642401}{409600000000000000000000}$$

Factor

$$\frac{3 ^ {12} \cdot 67 ^ {12}}{2 ^ {32} \cdot 5 ^ {20}} = 10616\frac{3.187173969902938 \times 10^{23}}{4.096 \times 10^{23}} = 10616.778118644996$$