Data Sufficiency (DS) | If ({a^1/2}*{b^1/3})^6=2000, what is the value of ab?

0 → see question
1 →\(a^3 * b^2 = 2000\)
2 →\((ab)^2 * a = 2000\)
3 →\((ab)^2 = 2000 / a\)

Statement #1:\(a = 5\)
From 3 →\((ab)^2 = 2000 / 5 = 400\)
So\(ab = \sqrt{(400)} = ± 20\) , but GMAT doesn't like ± (unlike my grade school algebra teacher)
So Statement #1 is insufficient.

Statement #2: a and b are positive integers
From 3 →\((ab)^2 = 2000 / a\)
So\( ab =\sqrt{(2000 / a)} = 2 * 2 * 5 *\sqrt{(5 / a)} → a = 5, b = 2 * 2 \)
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