Solve left(1+0.0135div4right)^12*100

$${ \left(1+0.0135 \div 4 \right) }^{ 12 } \times 100$$

Evaluate

$$104.1260303361681247888561198263719161361269756467663682997226715087890625$$

Solution Steps

Expand \frac{0.0135}{4} by multiplying both numerator and the denominator by 10000.

$$\left(1+\frac{135}{40000}\right)^{12}\times 100$$

Reduce the fraction \frac{135}{40000} to lowest terms by extracting and canceling out 5.

$$\left(1+\frac{27}{8000}\right)^{12}\times 100$$

Add 1 and \frac{27}{8000} to get \frac{8027}{8000}.

$$\left(\frac{8027}{8000}\right)^{12}\times 100$$

Calculate \frac{8027}{8000} to the power of 12 and get \frac{71554863192983357108125430384595932502003207121}{68719476736000000000000000000000000000000000000}.

$$\frac{71554863192983357108125430384595932502003207121}{68719476736000000000000000000000000000000000000}\times 100$$

Multiply \frac{71554863192983357108125430384595932502003207121}{68719476736000000000000000000000000000000000000} and 100 to get \frac{71554863192983357108125430384595932502003207121}{687194767360000000000000000000000000000000000}.

$$\frac{71554863192983357108125430384595932502003207121}{687194767360000000000000000000000000000000000}$$

Factor

$$\frac{23 ^ {12} \cdot 349 ^ {12}}{2 ^ {70} \cdot 5 ^ {34}} = 104\frac{8.660738754336323 \times 10^{43}}{6.871947673599999 \times 10^{44}} = 104.12603033616813$$