SOLUTION: Can someone please help me solve this? I am not sure if I did this right. This is a worksheet assigned and there are no examples like this in the book. Here it is: Perform th

Question 78030: Can someone please help me solve this? I am not sure if I did this right. This is a worksheet assigned and there are no examples like this in the book. Here it is:
Perform the indicated operation and simplify. Show your work.
(7 cube 3√15 c^8 d^4)(3 cube 3√75 c^5 d^4)
I hope I wrote this out correctly. Anyway, this is what I came up with as a final answer, but I wanted to see if it was right:
105 c^4 d^2 cube 3√9c d^2
Please let me know. I would greatly appreciate it!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(7 cube 3√15 c^8 d^4)(3 cube 3√75 c^5 d^4)
(7^3*3sqrt(15)*c^8*d^4)(3^3*3sqrt(75)*c^5*d^4)
= (7*3)^3*(9sqrt(15*75))*(c^(8+5))*(d^(4+4))
= 9261*(9*15sqrt3)*c^13*d^8
=125235(sqrt3) c^13 d^8
=============
Cheers,
Stan H.
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