Prove that the canonical p-adic expansion of $a\in\mathbb{Q}_p$ terminates

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I am having trouble getting started with the following problem:

Prove that the canonical p-adic expansion of $a\in\mathbb{Q}_p$ terminates (so $a_i = 0$ for all $i \geq N$) if and only if a is a positive rational number whose denominator is a power of p.

Thank you in advance