Solve 1,690(1+.057/2)^5frac{1{2}}*2

$$1,690 ( 1 + \frac { .057 } { 2 } ) ^ { 5 \frac { 1 } { 2 } } \cdot 2$$

Evaluate

$$\frac{11026440634982130670}{2795084971874737}\approx 3944.93932955$$

Solution Steps

Expand \frac{0.057}{2} by multiplying both numerator and the denominator by 1000.

$$1690\left(1+\frac{57}{2000}\right)^{\frac{5\times 2+1}{2}}\times 2$$

Add 1 and \frac{57}{2000} to get \frac{2057}{2000}.

$$1690\times \left(\frac{2057}{2000}\right)^{\frac{5\times 2+1}{2}}\times 2$$

Multiply 5 and 2 to get 10.

$$1690\times \left(\frac{2057}{2000}\right)^{\frac{10+1}{2}}\times 2$$

Add 10 and 1 to get 11.

$$1690\times \left(\frac{2057}{2000}\right)^{\frac{11}{2}}\times 2$$

Calculate \frac{2057}{2000} to the power of \frac{11}{2} and get \frac{6524521085788243}{5590169943749474}.

$$1690\times \frac{6524521085788243}{5590169943749474}\times 2$$

Multiply 1690 and \frac{6524521085788243}{5590169943749474} to get \frac{5513220317491065335}{2795084971874737}.

$$\frac{5513220317491065335}{2795084971874737}\times 2$$

Multiply \frac{5513220317491065335}{2795084971874737} and 2 to get \frac{11026440634982130670}{2795084971874737}.

$$\frac{11026440634982130670}{2795084971874737}$$

Factor

$$\frac{2 \cdot 5 \cdot 211 \cdot 487 \cdot 63494662999 \cdot 13 ^ {2}}{1669 \cdot 1674706394173} = 3944\frac{2625505908168984}{2795084971874737} = 3944.939329549759$$