100 \times ( 1 + \frac { 5 \% } { 12 } ) ^ { 12 } =
Evaluate
\frac{38388797722185519065061084481}{365203474360565760000000000}\approx 105.116189788
Factor
\frac{241 ^ {12}}{2 ^ {46} \cdot 3 ^ {12} \cdot 5 ^ {10}} = 105\frac{4.243291432611261 \times 10^{25}}{3.6520347436056575 \times 10^{26}} = 105.11618978817332
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100\left(1+\frac{5}{100\times 12}\right)^{12}
Express \frac{\frac{5}{100}}{12} as a single fraction.
100\left(1+\frac{5}{1200}\right)^{12}
Multiply 100 and 12 to get 1200.
100\left(1+\frac{1}{240}\right)^{12}
Reduce the fraction \frac{5}{1200} to lowest terms by extracting and canceling out 5.
100\times \left(\frac{241}{240}\right)^{12}
Add 1 and \frac{1}{240} to get \frac{241}{240}.
100\times \frac{38388797722185519065061084481}{36520347436056576000000000000}
Calculate \frac{241}{240} to the power of 12 and get \frac{38388797722185519065061084481}{36520347436056576000000000000}.
\frac{38388797722185519065061084481}{365203474360565760000000000}
Multiply 100 and \frac{38388797722185519065061084481}{36520347436056576000000000000} to get \frac{38388797722185519065061084481}{365203474360565760000000000}.
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