How do you simplify \frac { 3x ^ { 3} y ^ { 2} } { 2x ^ { 2} y ^ { 3} }?

2 Answers
Jul 4, 2018

Here.

Explanation:

Start by crossing out the x of the numerator with that of the denominator using indices rules.

x^3/x^2 = x

That's because the rule of indices states that when powers are divided, they get subtracted.

Do the same for the y.

You get:

y^2/ y^3= 1/y

Now since you can't simplify the 2 and the 3, you can leave them:

(3x)/(2y)

Jul 4, 2018

(3x)/(2y) or I prefer it as 1.5xy^-1=(1.5x)/y.

Explanation:

Given: (3x^3y^2)/(2x^2y^3).

Separate into:

=3/2*x^3/x^2*y^2/y^3

=1.5*x*1/y

=(1.5x)/y

=1.5xy^-1