Question

How do you simplify `root3( y^4)`?

Answer 1

`ycolor(white)(.) root(3)(y)`

Explanation:

`y^4` is the same as `yxxyxxyxxy`

So we are able to group this into

`(yxxyxxy)xxy` which is the same as `y^3xxy`

Write `root(3)(y^4)" "` as `" "root(3)(y^3xxy)`

We can take the `y^3` outside the cube root but in doing so it becomes just `y`

So `root(3)(y^4)" "=" "root(3)(y^3xxy)" "=" "ycolor(white)(.) root(3)(y)`
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Just for information: another way of writing `root(3)(y^4)" is "y^(4/3)`