Solve 116058,08(1+0,013/12)^5

$$116058,08 ( 1 + \frac { 0,013 } { 12 } ) ^ { 5 }$$

Evaluate

$$\frac{181473319870055870720784359}{1555200000000000000000}\approx 116688,091480231$$

Solution Steps

Expand \frac{0,013}{12} by multiplying both numerator and the denominator by 1000.

$$116058,08\left(1+\frac{13}{12000}\right)^{5}$$

Add 1 and \frac{13}{12000} to get \frac{12013}{12000}.

$$116058,08\times \left(\frac{12013}{12000}\right)^{5}$$

Calculate \frac{12013}{12000} to the power of 5 and get \frac{250182763485394031293}{248832000000000000000}.

$$116058,08\times \frac{250182763485394031293}{248832000000000000000}$$

Multiply 116058,08 and \frac{250182763485394031293}{248832000000000000000} to get \frac{181473319870055870720784359}{1555200000000000000000}.

$$\frac{181473319870055870720784359}{1555200000000000000000}$$

Factor

$$\frac{19 \cdot 38177 \cdot 41 ^ {5} \cdot 293 ^ {5}}{2 ^ {23} \cdot 3 ^ {5} \cdot 5 ^ {17}} = 116688\frac{1.4227005588298007 \times 10^{20}}{1.5552 \times 10^{21}} = 116688.09148023141$$