# How do you simplify #6/w^3div6/w^4#?

##### 3 Answers

By arranging. Your result is w.

#### Explanation:

Since

and

#### Explanation:

#"note that for division of fractions"#

#"we can convert to multiplication as follows"#

#â€¢color(white)(x)a/b-:c/d=a/bxxd/c#

#rArr6/w^3-:6/w^4#

#=6/w^3xxw^4/6#

#color(blue)"cancelling common factors"#

#=cancel(6)^1/w^3xxw^4/cancel(6)^1=w^4/w^3=w^((4-3))=w#

#### Explanation:

If you wish to understand why the shortcut method works have a look at: https://socratic.org/s/aKvaM7cE

The shortcut is: turn

cancelling out

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