polynomials
posted by sara .
I have to simplify
(x^5y^4)^4(3x^2y)^2(1/3xy)
I did
(x^20y^16)(9x^4y^2)(1/3xy)
(9x^24y^18)(1/3xy)
3x^25y^19
Is this correct?
Thank you for your help!

First of all, it's not a polynomial,as there is only one term.
It's ok to here:
(9x^24y^18)(1/3xy)
Now, is that 1/(3xy) or (1/3)xy ?
It appears that you meant (1/3) xy, but it's hard to say, since you some how got
(...)(1/3) = 3(...)
How did you manage to switch from dividing to multiplying by 3?
So, if you meant (1/3) xy, the answer is 1/3 3x^25y^19
If it was 1/(3xy), then you have
1/3 x^23y^17
In either case, you can't switch 1/3 to 3.
Now, if you meant
(...)/(1/3xy)
then you get a 3 in front, since you are dividing by 1/3. 
Thank you for explaining my mistake.
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