Question

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

Answer 1

`(2xy^(2)z )/(3)`

Explanation:

I'm on the same question and the answer above doesn't really answer it but don't be mad about it because you didn't put in the options for them to choose from. This is just my guess :)

Answer 2

First apply the exponent rule of...

`a^(b) * a^c = a^(b + c) \ \textgreater \ x^2x = x^(2 + 1) = x^3 \ \textgreater \ 18x^3y^3 (y)/(27)z`
Now we want to multiply the fractions.

`a * (b)/(c) = (a * b)/(c) \ \textgreater \ y * (18x^3y^3z)/(27) \ \textgreater \ y * 18x^3y^3z`
Now apply the exponent rule of..

`a^b * a^c = a^(b * c) \ \textgreater \ y^3y = y^(1 + 3) = y^4 \ \textgreater \ 18x^3y^4z \ \textgreater \ (18x^3y^4z)/(27)`
Cancel the common factor which is 9.

`(2x^3y^4z)/(3)`