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

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:

${y}^{2} / {y}^{3} = \frac{1}{y}$

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

$\frac{3 x}{2 y}$

Jul 4, 2018

$\frac{3 x}{2 y}$ or I prefer it as $1.5 x {y}^{-} 1 = \frac{1.5 x}{y}$.

#### Explanation:

Given: $\frac{3 {x}^{3} {y}^{2}}{2 {x}^{2} {y}^{3}}$.

Separate into:

$= \frac{3}{2} \cdot {x}^{3} / {x}^{2} \cdot {y}^{2} / {y}^{3}$

$= 1.5 \cdot x \cdot \frac{1}{y}$

$= \frac{1.5 x}{y}$

$= 1.5 x {y}^{-} 1$