Comparison Mania

Algebra Level 3

Let

a=2147a = 2^{147}

b=3105b = 3^{105}

c=463c = 4^{63}

d=563d = 5^{63}

e=742e = 7^{42}

Arrange the values in descending order. Give your answer in the following form:

If you get C>A>D>E>BC > A > D > E > B, your answer would be 31452.

If you get A>E>B>D>CA > E > B > D > C, your answer would be 15243.

(I did not come up with this question. This is from the entrance exam of the Computer POSN camp in Thailand.)

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