Math CentralQuandaries & Queries


Question from Sashi:

4444 to power of 4444=?
Please share the result with simplification.

Hi Sashi,

The expression


is to large for any normal calculator. I would use logarithms.


\[y = 4444^{4444}\]

and take the common logarithm of both sides to get

\[\log(y) = \log\left(4444^{4444}\right) = 4444 \times \log(4444).\]

See if you can complete the problem from here.

As a check of your answer go to WolframAlpha and type 4444^4444 into the computation window.

Write back if you need more assistance.


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