Solve (1+0.168/12)^12-1

$$( 1 + \frac { 0.168 } { 12 } ) ^ { 12 } - 1$$

Evaluate

$$0.181559128918121839320471184364343296$$

Solution Steps

Expand \frac{0.168}{12} by multiplying both numerator and the denominator by 1000.

$$\left(1+\frac{168}{12000}\right)^{12}-1$$

Reduce the fraction \frac{168}{12000} to lowest terms by extracting and canceling out 24.

$$\left(1+\frac{7}{500}\right)^{12}-1$$

Add 1 and \frac{7}{500} to get \frac{507}{500}.

$$\left(\frac{507}{500}\right)^{12}-1$$

Calculate \frac{507}{500} to the power of 12 and get \frac{288466584208525839677849410245201}{244140625000000000000000000000000}.

$$\frac{288466584208525839677849410245201}{244140625000000000000000000000000}-1$$

Subtract 1 from \frac{288466584208525839677849410245201}{244140625000000000000000000000000} to get \frac{44325959208525839677849410245201}{244140625000000000000000000000000}.

$$\frac{44325959208525839677849410245201}{244140625000000000000000000000000}$$

Factor

$$\frac{7 \cdot 19 \cdot 31 \cdot 53 \cdot 8179 \cdot 507049 \cdot 760549 \cdot 64311938401}{2 ^ {24} \cdot 5 ^ {36}} = 0.18155912891812184$$