SOLUTION: Is this right? simplify: v^1/3*v^2/5 = v^2/15 Thanks

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Question 9037: Is this right?
simplify: v^1/3*v^2/5
= v^2/15
Thanks
Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
There is a rule for that with exponents. It's +a%5Em%2Aa%5En+=+a%5E%28m%2Bn%29+. If the bases are the same with different powers, the way to simplify it is to rewrite the base just once, and raise it to the sum of the powers.

In your case, v%5E%281%2F3%29%2Av%5E%282%2F5%29 would equal +v%5E%281%2F3+%2B+2%2F5%29+. This problem then really turns into addition of fractions with different denominators. I trust that you know how to do that. The answer should be +v%5E%2811%2F15%29+