What is $\frac{8 x^{4} y^{2}}{3 z^{3}} \cdot \frac{9 x y^{2} z^{6}}{4 y^{4}}$ $(8x^4y^2)/(3z^3) * (9xy^2z^6)/(4y^4)$ ?

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Answer 1 · 2016-05-06T15:39:04

$6 x^{5} z^{3}$ $6x^5z^3$

$\frac{8 x^{4} y^{2}}{3 z^{3}} \cdot \frac{9 x y^{2} z^{6}}{4 y^{4}}$ $(8x^4y^2)/(3z^3) * (9xy^2z^6)/(4y^4)$

Multiply like terms, add exponents of like terms.

$= \frac{72 x^{5} y^{4} z^{6}}{12 z^{3} y^{4}}$ $= (72x^5y^4z^6)/(12z^3y^4)$

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

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

Subtract exponents when dividing like terms.

$=6x^5z^3$

What is (8x^4y^2)/(3z^3) * (9xy^2z^6)/(4y^4)8x4y23z3⋅9xy2z64y4(8x^4y^2)/(3z^3) * (9xy^2z^6)/(4y^4)?