Verified Answer :

When you multiply same numbers with different exponents, you keep the same number, but add the exponents.  
3^(2+3)=3^5=243
Hope this helps.

Plip

                                                   \(\huge\boxed{243}\)

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                                             \(\boxed{Explanation}\)

So, we have the following equation...

\(3^2*3^3=(?)\)

Remember \(3^2\) and \(3^3\) is the following...

\(3^2=3*3\\3^3=3*3*3\)

Therefore, \(3*3=9\\3*3*3=27\\9*27=243\)

So, your final answer is \(\boxed{243}\).

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Glad to help!

\(\huge\boxed{Thanks,\;Plip.}\)