Solve {(1+0.005)^12-1/0.005}

$$\{ \frac { ( 1 + 0.005 ) ^ { 12 } - 1 } { 0.005 } \}$$

Evaluate

$$12.335562372899913757941523486328125$$

Solution Steps

Add 1 and 0.005 to get 1.005.

$$\frac{1.005^{12}-1}{0.005}$$

Calculate 1.005 to the power of 12 and get 1.061677811864499568789707617431640625.

$$\frac{1.061677811864499568789707617431640625-1}{0.005}$$

Subtract 1 from 1.061677811864499568789707617431640625 to get 0.061677811864499568789707617431640625.

$$\frac{0.061677811864499568789707617431640625}{0.005}$$

Expand \frac{0.061677811864499568789707617431640625}{0.005} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000.

$$\frac{61677811864499568789707617431640625}{5000000000000000000000000000000000}$$

Reduce the fraction \frac{61677811864499568789707617431640625}{5000000000000000000000000000000000} to lowest terms by extracting and canceling out 244140625.

$$\frac{252632317396990233762642401}{20480000000000000000000000}$$

Factor

$$\frac{7 \cdot 13 \cdot 37 \cdot 41 \cdot 53 \cdot 73 \cdot 401 \cdot 5743 \cdot 9277 \cdot 22139737}{2 ^ {33} \cdot 5 ^ {22}} = 12\frac{6.872317396990225 \times 10^{24}}{2.0479999999999996 \times 10^{25}} = 12.335562372899913$$