$1.00475^{32}$

asked by guest
on Nov 19, 2024 at 5:28 am



You asked:

Evaluate the expression: \({1.00475}^{32}\)

MathBot Answer:

\[{1.00475}^{32} = \frac{21467239332221782654232410528636700497333135512108681469097704807049965733638507075499178535402355853733501806149761}{18446744073709551616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} \approx 1.16374137606305631105617850489641\]


\[\begin{aligned}{1.00475}^{32}& = \left(1 + \frac{475}{100000}\right)^{32}\\& = \left(1 + \frac{19}{4000}\right)^{32}\\& = \left(\frac{4019}{4000}\right)^{32}\\& = \frac{21467239332221782654232410528636700497333135512108681469097704807049965733638507075499178535402355853733501806149761}{18446744073709551616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\end{aligned}\]