If you want the correct answer to your question, use 1/2" Fir underlayment plywood. Underlayment has no voids in the plys, which translates to being quieter. Using 3/4" birch or maple plywood is more than a tad overkill. If it is that small, maybe make a rigid base out of 1x3 and use homasote or foam. Put green landscape paper over it and a 1x4 wood border on it to stiffen it up and keep it square. Lighten your load. Good to go.
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