Solve {left(1+4.2/12right)}^12

$${ \left(1+ \frac{ 4.2 }{ 12 } \right) }^{ 12 }$$

Evaluate

$$36.644198070556426025390625$$

Solution Steps

Expand \frac{4.2}{12} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{42}{120}\right)^{12}$$

Reduce the fraction \frac{42}{120} to lowest terms by extracting and canceling out 6.

$$\left(1+\frac{7}{20}\right)^{12}$$

Add 1 and \frac{7}{20} to get \frac{27}{20}.

$$\left(\frac{27}{20}\right)^{12}$$

Calculate \frac{27}{20} to the power of 12 and get \frac{150094635296999121}{4096000000000000}.

$$\frac{150094635296999121}{4096000000000000}$$

Factor

$$\frac{3 ^ {36}}{2 ^ {24} \cdot 5 ^ {12}} = 36\frac{2638635296999136}{4096000000000000} = 36.64419807055643$$