What is (8x^4y^2)/(3z^3) * (9xy^2z^6)/(4y^4)?

1 Answer
May 6, 2016

6x^5z^3

Explanation:

(8x^4y^2)/(3z^3) * (9xy^2z^6)/(4y^4)

Multiply like terms, add exponents of like terms.

= (72x^5y^4z^6)/(12z^3y^4)

=(6cancel(72)x^5cancel(y^4)z^6)/(cancel(12)z^3cancel(y^4))

=(6x^5z^6)/z^3

Subtract exponents when dividing like terms.

=6x^5z^3