(xy^9 / 3y^-2) • (-7y / 21x^5)

Question

anonymous · Answer

$$\frac{ xy ^{9} }{ 3y ^{-2} } \times \frac{ -7y }{ 21x ^{5} }$$

ivettef365 · Answer

first you can simplify,  -7/21 = ???
to simplify variables with exponents on division it is (x^(a-b))
so you have y^9 and y^-2 so  y^(9-(-2)) = y^11

anonymous · Answer

Yes.  I already have an answer, but I was hoping that if someone would be willing to work through the problem, we would get the same answer.
First thing I did was simplify -7/21 to -1/3, then got y^11.  I ended up with
$$\frac{ xy ^{11} }{ 3 } \times \frac{ -y }{ 3x ^{5} }$$
Correct?

ivettef365 · Answer

ok, now you can simplify the x from the top with the x from the bottom and you have

    y^11          -y
-------  x  -----
     3              3x^4

ivettef365 · Answer

now multiply and what do you get ?

jhonyy9 · Answer

so do you understand it ?

jhonyy9 · Answer

courage

anonymous · Answer

$$\frac{ -2y ^{12} }{ 9x ^{4} }$$

ivettef365 · Answer

actuallry (1) x (-1)  = -1

ivettef365 · Answer

so you have   -y^12
                   -------
                     9x^4

anonymous · Answer

Yeah, I had -y on my paper. I don't know why I decided to include a 2.

anonymous · Answer

Yeah, that's what I had the first time too. I just wasn't positive, so I needed some reassurance.  Thanks for walking me through it!

ivettef365 · Answer

yw :)