Roots and Powers
The Relationship Between Roots and Powers
Property —
Taking the nth Root of an nth Power
Example 1
Simplify:
![](./articles_imgs/975/roots-44.gif)
Solution
Use this relationship to simplify each radical:
![](./articles_imgs/975/roots-45.gif)
![](./articles_imgs/975/roots-46.gif)
Example 2
Simplify:
![](./articles_imgs/975/roots-47.gif)
Solution
This has the form
where x
< 0.
Therefore, use this relationship:
= -1 · x.
![](./articles_imgs/975/roots-49.gif)
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