1.2564 to the power of 10

asked by guest
on Jan 15, 2025 at 1:45 pm



You asked:

Evaluate the expression: \({1.2564}^{10}\)

MathBot Answer:

\[{1.2564}^{10} = \frac{93471532676465812561058924419393401}{9536743164062500000000000000000000} = 9.8012005847757815872024922731989854846976\]

\[\begin{aligned}{1.2564}^{10}& = \left(1 + \frac{2564}{10000}\right)^{10}\\& = \left(1 + \frac{641}{2500}\right)^{10}\\& = \left(\frac{3141}{2500}\right)^{10}\\& = \frac{93471532676465812561058924419393401}{9536743164062500000000000000000000}\end{aligned}\]

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