I have a question about exponents of rational expressions.

I have two answers for one problem. One was written on a university mathlab and the other from a calculator.
(3a^3/2)*(-7a^1/5) = -21a^17/10
(3a^3/2)*(-7a^1/5) = -21^a4/10
Can you tell me which is right?
The first one looks right to me based on the multiplication of fractions.

2 answers

the first one is definitely the right one.
when you add the exponents 3/2 + 1/5
you get 17/10
Thank you. I don't what to talk in class like I haven't done my homework. I did, but the two answers confused me. The second looked plausible, but I trust a university mathlab a whole lot more.