Solve 13000(1+.016/2)^36

$$13000 ( 1 + \frac { .016 } { 2 } ) ^ { 36 }$$

Evaluate

$$17318.987878176321898080027914300027491689184482982723892983433643822051426721646404413058762700356509738467328$$

Solution Steps

Expand \frac{0.016}{2} by multiplying both numerator and the denominator by 1000.

$$13000\left(1+\frac{16}{2000}\right)^{36}$$

Reduce the fraction \frac{16}{2000} to lowest terms by extracting and canceling out 16.

$$13000\left(1+\frac{1}{125}\right)^{36}$$

Add 1 and \frac{1}{125} to get \frac{126}{125}.

$$13000\times \left(\frac{126}{125}\right)^{36}$$

Calculate \frac{126}{125} to the power of 36 and get \frac{4105250136745764369275937387345906925573515066578091534957068678701699301376}{3081487911019577364889564708135883709660962637144621112383902072906494140625}.

$$13000\times \frac{4105250136745764369275937387345906925573515066578091534957068678701699301376}{3081487911019577364889564708135883709660962637144621112383902072906494140625}$$

Multiply 13000 and \frac{4105250136745764369275937387345906925573515066578091534957068678701699301376}{3081487911019577364889564708135883709660962637144621112383902072906494140625} to get \frac{426946014221559494404697488283974320259645566924121519635535142584976727343104}{24651903288156618919116517665087069677287701097156968899071216583251953125}.

$$\frac{426946014221559494404697488283974320259645566924121519635535142584976727343104}{24651903288156618919116517665087069677287701097156968899071216583251953125}$$

Factor

$$\frac{13 \cdot 2 ^ {39} \cdot 3 ^ {72} \cdot 7 ^ {36}}{5 ^ {105}} = 17318\frac{2.4353077263159615 \times 10^{73}}{2.4651903288156616 \times 10^{73}} = 17318.987878176322$$