(1.005)^{23}

asked by guest
on Oct 21, 2024 at 4:32 am



You asked:

Evaluate the expression: \({1.005}^{23}\)

MathBot Answer:

\[{1.005}^{23} = \frac{94082602148803570195546386817458028320989862178124601}{83886080000000000000000000000000000000000000000000000} = 1.121552016124767901844339213579392770779011990763242256641387939453125\]

\[\begin{aligned}{1.005}^{23}& = \left(1 + \frac{5}{1000}\right)^{23}\\& = \left(1 + \frac{1}{200}\right)^{23}\\& = \left(\frac{201}{200}\right)^{23}\\& = \frac{94082602148803570195546386817458028320989862178124601}{83886080000000000000000000000000000000000000000000000}\end{aligned}\]

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