While ordering these four numbers from least to greatest: 5 36 , 10 51 , 17 35 , 31 17 , which is the 3rd number? Options: A . &nbsp536 B . &nbsp1051 C . &nbsp1735 D . &nbsp3117 E . &nbspNone of these

While ordering these four numbers from least to greatest: 536, 1051, 1735, 3117,

Question

While ordering these four numbers from least to greatest:

5^{36}

10^{51}

17^{35}

31^{17}

, which is the 3rd number?

Answer: Option C
:
C

10^{51} > 9^{51} = 3^{102} = 27^{34} > 17^{35} > 16^{35} = 32^{28} > 31^{17} > 25^{18} = 5^{36} .

So the ordering is

5^{36} < 31^{17} < 17^{35} < 10^{51}

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