Solve {left(1+0.10/12right)}^12-1=

$${ \left(1+ \frac{ 0.10 }{ 12 } \right) }^{ 12 } -1=$$

Evaluate

$$\frac{933632227551611094711841}{8916100448256000000000000}\approx 0.104713067$$

Solution Steps

Expand \frac{0.1}{12} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{1}{120}\right)^{12}-1$$

Add 1 and \frac{1}{120} to get \frac{121}{120}.

$$\left(\frac{121}{120}\right)^{12}-1$$

Calculate \frac{121}{120} to the power of 12 and get \frac{9849732675807611094711841}{8916100448256000000000000}.

$$\frac{9849732675807611094711841}{8916100448256000000000000}-1$$

Subtract 1 from \frac{9849732675807611094711841}{8916100448256000000000000} to get \frac{933632227551611094711841}{8916100448256000000000000}.

$$\frac{933632227551611094711841}{8916100448256000000000000}$$

Factor

$$\frac{13 \cdot 113 \cdot 127 \cdot 241 \cdot 257 \cdot 829 \cdot 1117 \cdot 254389 \cdot 7 ^ {3}}{2 ^ {36} \cdot 3 ^ {12} \cdot 5 ^ {12}} = 0.10471306744129726$$