How do you simplify ( -14xy^4)/(18y^2) * (24x^2y^3)/(35y^2) ?

1 Answer
Jul 19, 2015

Factor and cancel the scalar multipliers and add/subtract exponents to find:

(-14xy^4)/(18y^2)*(24x^2y^3)/(35y^2)=(-8x^3y^3)/15

Explanation:

(-14xy^4)/(18y^2)*(24x^2y^3)/(35y^2)

=((-14xy^4)(24x^2y^3))/((18y^2)(35y^2))

=(-2*7*3*2^3x^3y^7)/(2*3^2*5*7y^4)

=(-2^4*3*7x^3y^7)/(2*3^2*5*7y^4)

=(-2^3x^3*y^3)/(3*5)

=(-8x^3y^3)/15

with exclusion y != 0