Comparison Mania

Algebra Level 3

Let

\(a = 2^{147}\)

\(b = 3^{105}\)

\(c = 4^{63}\)

\(d = 5^{63}\)

\(e = 7^{42}\)

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

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

If you get \(A > E > B > D > C\), 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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