What is the largest $n$ such that $a = 2^{306} \cdot 3^{340}$ is a perfect $n$th power?
Question:
What is the largest $n$ such that $a = 2^{306} \cdot 3^{340}$ is a perfect $n$th power?
Answer:
Let's think step by step.

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What is the largest $n$ such that $a = 2^{306} \cdot 3^{340}$ is a perfect $n$th power?
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