polynomials

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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!

  • polynomials -

    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.

  • polynomials -

    Thank you for explaining my mistake.

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