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

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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)?
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<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>

Revision as of 16:31, 9 February 2019

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

$\{\textbf{(A) }32}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(B) }36}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(C) }37}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(D) }39}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(E) }41}$ (Error compiling LaTeX. Unknown error_msg)