Modulo in solving numbers raised to high exponents

[yik-boh]

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.

 

[icystrike]

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.

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

If yes , use logarithm .

 

[yik-boh]

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