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Let A=2^50, B=3^30, and C=5^20.

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Let A=2^50, B=3^30, and C=5^20.

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[GMAT math practice question]

$$LetA\ =2^{50},B=3^{30},\ and\ C=5^{20}$$ . Which of the following is true?

A. A < B < C
B. A < C < B
C. C < A < B
D. B < C < A
E. C < B < A

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=>

If we wish to compare these numbers, we need to either make their bases the same or make their exponents the same. In this case, it is easiest to make all exponents the same as follows:
A=2^50 = (2^5)^10 = 32^10
B=3^30 = (3^3)^10 = 27^10
C=5^20 = (5^2)^10 = 25^10

Since 32 > 27 > 25, we must have A > B > C.

Therefore, the answer is E.

Answer: E

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