Modulo in solving numbers raised to high exponents

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yik-boh
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Modular method in solving numbers raised to high exponents

Arrange the ff from greatest to least:

[itex]2^{110}, 3^{75}, 5^{49}[/itex]



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

I really need it. Hope you could help me.
 
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yik-boh said:
Arrange the ff from greatest to least:

[itex]2^{110}, 3^{75}, 5^{49}[/itex]



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

I really need it. Hope you could help me.

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

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