Difference between revisions of "2019 AMC 10A Problems/Problem 11"

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How many positive integer divisors of $201^9$ are perfect squares or perfect cubes (or both)?

${\textbf{(A) }32} \qquad {\textbf{(B) }36} \qquad {\textbf{(C) }37} \qquad {\textbf{(D) }39} \qquad {\textbf{(E) }41}$

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	How many positive integer divisors of <math>201^9</math> are perfect squares or perfect cubes (or both)?		How many positive integer divisors of <math>201^9</math> are perfect squares or perfect cubes (or both)?

−	<math>\{\textbf{(A) }32}~~</math> <math>~~\{\textbf{(B) }36}~~</math> <math>~~\{\textbf{(C) }37}~~</math> <math>~~\{\textbf{(D) }39}~~</math> <math>~~\{\textbf{(E) }41}</math>	+	<math>{\textbf{(A) }32} \qquad {\textbf{(B) }36} \qquad {\textbf{(C) }37} \qquad {\textbf{(D) }39} \qquad {\textbf{(E) }41}</math>