Simplify the fraction 54x^(6)y^(13)/6x^(3)y^(9).

We can treat the numbers (coefficients) 54/6 as one separate fraction to be multiplied by what we get when we've simplified the x's and y's. So first we do 54/6 to get 9, which we'll multiply the rest of the answer by.Next, recall that when dividing powers with the same base, we take away the index in the denominator from the index in the numerator. So, thinking of x^(6)y^(13)/x^(3)y^(9) as x^(6)/x^(3) multiplied by y^(13)/y^(9), we get x^(3) multiplied by y^(4).Then we put the coefficient from before back on to get 9x^(3)y^(4).