What is the mass of 3.6 x 10∧24 atoms of Zinc (Zn) ?

If that in the middle between the 10 and 24 is a caret, then I believe this is the work:

3.6 x 10^24 atoms Zn / 6.022x10^23 atom/mol Zn = 6 mol Zn

6 mol Zn x 65.36 g/mol Zn = 390 g Zn if you carry two significant figures with rounding at each step.

I believe that is correct as all the units cancel properly.