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General GMAT Questions and Strategies | Re: The Ultimate Q51 Guide [Expert Level]

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If a and b are positive integers, what is the number of the different prime factors of a^b?

1) a has different 2 prime factors.
2) b has different 3 prime factors.

==> If you modify the original condition and the question, the number of prime factors doesn’t affect the exponent. In other words, the number of prime factors of a^b is equal to the number of prime factors of a.

Therefore, the answer is A.
Answer: A

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