$1.005638^{12}$

asked by guest
on Oct 17, 2024 at 11:43 pm



You asked:

Evaluate the expression: \({1.005638}^{12}\)

MathBot Answer:

\[{1.005638}^{12} = \frac{261180145746954709744227240187979168237210501592763329168770322664561}{244140625000000000000000000000000000000000000000000000000000000000000} = 1.069793876979526491112354775809962673099614214523958596275283241634041856\]

\[\begin{aligned}{1.005638}^{12}& = \left(1 + \frac{5638}{1000000}\right)^{12}\\& = \left(1 + \frac{2819}{500000}\right)^{12}\\& = \left(\frac{502819}{500000}\right)^{12}\\& = \frac{261180145746954709744227240187979168237210501592763329168770322664561}{244140625000000000000000000000000000000000000000000000000000000000000}\end{aligned}\]

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