Simplify 18x^2y/27xy^3z

First apply the exponent rule of...
[tex] a^{b} * a^c = a^{b + c} \ \textgreater \ x^2x = x^{2 + 1} = x^3 \ \textgreater \ 18x^3y^3 \frac{y}{27}z [/tex]
Now we want to multiply the fractions.
[tex]a * \frac{b}{c} = \frac{a * b}{c} \ \textgreater \ y * \frac{18x^3y^3z}{27} \ \textgreater \ y * 18x^3y^3z[/tex]
Now apply the exponent rule of..
[tex]a^b * a^c = a^{b * c} \ \textgreater \ y^3y = y^{1 + 3} = y^4 \ \textgreater \ 18x^3y^4z \ \textgreater \ \frac{18x^3y^4z}{27} [/tex]
Cancel the common factor which is 9.
[tex] \frac{2x^3y^4z}{3} [/tex]