Solve =10,000(1+0.065/2)^2*7

$$= 10,000 ( 1 + \frac { 0.065 } { 2 } ) ^ { 2 \cdot 7 }$$

Evaluate

$$15648.0723196570447610351056492987129427492618560791015625$$

Solution Steps

Expand \frac{0.065}{2} by multiplying both numerator and the denominator by 1000.

$$10000\left(1+\frac{65}{2000}\right)^{2\times 7}$$

Reduce the fraction \frac{65}{2000} to lowest terms by extracting and canceling out 5.

$$10000\left(1+\frac{13}{400}\right)^{2\times 7}$$

Add 1 and \frac{13}{400} to get \frac{413}{400}.

$$10000\times \left(\frac{413}{400}\right)^{2\times 7}$$

Multiply 2 and 7 to get 14.

$$10000\times \left(\frac{413}{400}\right)^{14}$$

Calculate \frac{413}{400} to the power of 14 and get \frac{4200497428648116574040869616977676089}{2684354560000000000000000000000000000}.

$$10000\times \frac{4200497428648116574040869616977676089}{2684354560000000000000000000000000000}$$

Multiply 10000 and \frac{4200497428648116574040869616977676089}{2684354560000000000000000000000000000} to get \frac{4200497428648116574040869616977676089}{268435456000000000000000000000000}.

$$\frac{4200497428648116574040869616977676089}{268435456000000000000000000000000}$$

Factor

$$\frac{7 ^ {14} \cdot 59 ^ {14}}{2 ^ {52} \cdot 5 ^ {24}} = 15648\frac{1.9413160116847492 \times 10^{31}}{2.6843545599999996 \times 10^{32}} = 15648.072319657045$$