Please show me how to do this

Question

Y^3/-3xy²

Answer 1

Do you mean this?

 

  Y³

------

-3xy²

 

If you do then...

 

First work with the y's.  There is a 3rd power of y in the numerator and a second power in the denominator.  By the rules of division of power, y³/y² = y^(3-2) = y¹ = y

 

So that leaves you with:

 

  y

 -----

 -3x

 

Usually it's best to take negatives out of the denominator, which you would do by multiplying both the fraction by -1 / -1.  That doesn't change the value, because -1 / -1 = 1.

 

So you get:

 

-1       y              -y             -y

---  x ----   =  -----------   = -----

-1      -3x       (-1)(-3x)        3x

 

So the best answer is -y / 3x