Solve 8000(1+.07/12)^(2)(6)

$$8000 ( 1 + \frac { .07 } { 12 } ) ^ { ( 2 ) ( 6 ) }$$

Evaluate

$$\frac{9560646070582745312698372124131346401}{1114512556032000000000000000000000}\approx 8578.32064685$$

Solution Steps

Expand \frac{0.07}{12} by multiplying both numerator and the denominator by 100.

$$8000\left(1+\frac{7}{1200}\right)^{2\times 6}$$

Add 1 and \frac{7}{1200} to get \frac{1207}{1200}.

$$8000\times \left(\frac{1207}{1200}\right)^{2\times 6}$$

Multiply 2 and 6 to get 12.

$$8000\times \left(\frac{1207}{1200}\right)^{12}$$

Calculate \frac{1207}{1200} to the power of 12 and get \frac{9560646070582745312698372124131346401}{8916100448256000000000000000000000000}.

$$8000\times \frac{9560646070582745312698372124131346401}{8916100448256000000000000000000000000}$$

Multiply 8000 and \frac{9560646070582745312698372124131346401}{8916100448256000000000000000000000000} to get \frac{9560646070582745312698372124131346401}{1114512556032000000000000000000000}.

$$\frac{9560646070582745312698372124131346401}{1114512556032000000000000000000000}$$

Factor

$$\frac{17 ^ {12} \cdot 71 ^ {12}}{2 ^ {42} \cdot 3 ^ {12} \cdot 5 ^ {21}} = 8578\frac{3.5736494024906267 \times 10^{32}}{1.114512556032 \times 10^{33}} = 8578.320646849885$$