Question

How do you simplify `(8w^6)/(48w^2)`?

Answer 1

`w^4 / 6` Write out all of the factors then divide out the common factors.

Explanation:

`( 8xxw^6)/(48xxw^2)` = `(2 xx 2 xx 2 xx w xx w xx w xx w xx w xx w) /( 2 xx 2 xx 2 xx 2 xx 3 xx w xx w)`

All of the 2 factors divide out of the top and all of the w factors divide out of the bottom. leaving only 4 w s on the top and a 2 and a 3 on the bottom.

so the remaining factors are

`w^4 /6`