Hi,

$\displaystyle \mathrm{If\ a\ and\ b\ are\ positive\ integers\ and\ (a^\frac12 \cdot b^\frac13)^6\ =\ 432\ what\ is\ the\ value\ of\ ab?}$

$\displaystyle (a^\frac12 \cdot b^\frac13)^6\ =\ 432$

$\displaystyle \underbrace{a^3\ \cdot\ b^2\ =\ 432}_\mathrm{Stuck\ here}$

Perhaps I went about it incorrectly...