long exponents?????

flowerfalcon

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May 14, 2013
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Im in the dark. how do you solve a problem with a long exponent, such as (-18)^4521 without a calculator ? :-(
 
You just... don't. Even that would be a miracle for a calculator to accomplish!
Well you can get a good approximation with a scientific calculator or a table of logs.

\(\displaystyle x = (-18)^{4521} \implies -x = 18^{4521}> 0 \implies log_{10}(- x) = 4521 * log_{10}(18) \approx 5675 \implies - x \approx 10^{5675} \implies x \approx - 10^{5675}\).
 
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Hello, flowerfalcon!

How do you solve a problem with a long exponent, such as: \(\displaystyle (\text{-}18)^{4521}\) without a calculator?

Please state the original problem.

I'm sure they don't want the actual answer.
. . It has over 5,600 digits.

A typical problem might ask for the last digit.
 
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