# How do you simplify (4w^3z^2)/( 5w^2)?

Apr 15, 2016

$0.8 w {z}^{2}$

#### Explanation:

This fraction can be split up into different parts to make it easier to work with,

$\frac{4 {w}^{3} {z}^{2}}{5 {w}^{2}} = \frac{4}{5} \cdot {w}^{3} / {w}^{2} \cdot {z}^{2} / 1$

which are easier to simplify. You can check you've split it up right by multiplying the tops together and the bottoms together and you should get the original fraction.

$\frac{4}{5} = 0.8$

${w}^{3} / {w}^{2} = {w}^{3 - 2} = {w}^{1} = w$ (using laws of indices)

and ${z}^{2} / 1 = {z}^{2}$.

Putting these back together, you get

$\frac{4 {w}^{3} {z}^{2}}{5 {w}^{2}} = 0.8 w {z}^{2}$

Apr 15, 2016

$\frac{4 w {z}^{2}}{5}$

#### Explanation:

As a general rule, if a question is presented to me in a particular format I assume that the answer is meant to be in the same format unless instructed otherwise.

Given:$\text{ } \frac{4 {w}^{3} {z}^{2}}{5 {w}^{2}}$

Splitting (partitioning) the fraction (rational expression)

$\frac{4}{5} \times {w}^{3} / {w}^{2} \times {z}^{2} \text{ " =" } \frac{4}{5} \times w \times {z}^{2}$

Putting it back together

$\frac{4 w z}{5}$