Solve {left(1+0.042/12right)}^12

$${ \left(1+ \frac{ 0.042 }{ 12 } \right) }^{ 12 }$$

Evaluate

$$1.042818007198614414273953342103373808398681640625$$

Solution Steps

Expand \frac{0.042}{12} by multiplying both numerator and the denominator by 1000.

$$\left(1+\frac{42}{12000}\right)^{12}$$

Reduce the fraction \frac{42}{12000} to lowest terms by extracting and canceling out 6.

$$\left(1+\frac{7}{2000}\right)^{12}$$

Add 1 and \frac{7}{2000} to get \frac{2007}{2000}.

$$\left(\frac{2007}{2000}\right)^{12}$$

Calculate \frac{2007}{2000} to the power of 12 and get \frac{4271382557485524640866112889255419119201}{4096000000000000000000000000000000000000}.

$$\frac{4271382557485524640866112889255419119201}{4096000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {24} \cdot 223 ^ {12}}{2 ^ {48} \cdot 5 ^ {36}} = 1\frac{1.753825574855242 \times 10^{38}}{4.096 \times 10^{39}} = 1.0428180071986144$$