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# Modulo in solving numbers raised to high exponents

1. ### yik-boh

57
Modular method in solving numbers raised to high exponents

Arrange the ff from greatest to least:

$2^{110}, 3^{75}, 5^{49}$

How could I use a modular method to be able to answer that one?

I really need it. Hope you could help me.

Last edited: Dec 8, 2009
2. ### icystrike

435
Re: Modular method in solving numbers raised to high exponents

Are you able to use the calculator to do the question?

If yes , use logarithm .

Last edited: Dec 8, 2009
3. ### yik-boh

57
No. We're not allowed. My teacher told me to use a modular reduction and comparison. Can you teach me how?