Solve 2000(1+{left(0.024/2right)}^6

$$2000(1+ { \left( \frac{ 0.024 }{ 2 } \right) }^{ 6 }$$

Evaluate

$$2000.000000005971968$$

Solution Steps

Expand \frac{0.024}{2} by multiplying both numerator and the denominator by 1000.

$$2000\left(1+\left(\frac{24}{2000}\right)^{6}\right)$$

Reduce the fraction \frac{24}{2000} to lowest terms by extracting and canceling out 8.

$$2000\left(1+\left(\frac{3}{250}\right)^{6}\right)$$

Calculate \frac{3}{250} to the power of 6 and get \frac{729}{244140625000000}.

$$2000\left(1+\frac{729}{244140625000000}\right)$$

Add 1 and \frac{729}{244140625000000} to get \frac{244140625000729}{244140625000000}.

$$2000\times \frac{244140625000729}{244140625000000}$$

Multiply 2000 and \frac{244140625000729}{244140625000000} to get \frac{244140625000729}{122070312500}.

$$\frac{244140625000729}{122070312500}$$

Factor

$$\frac{17 \cdot 3677 \cdot 3905687581}{2 ^ {2} \cdot 5 ^ {15}} = 2000\frac{729}{122070312500} = 2000.000000005972$$