Posted by **Cassie** on Wednesday, March 18, 2009 at 3:56pm.

Let x, y, and z be positive numbers. What is the fourth root of the expression:

16x^8 * y^4 * z^16

What is a "fourth root"?

Thank you! :-)

- Algebra -
**Sean**, Wednesday, March 18, 2009 at 4:02pm
Fourth root is the same as to the 1/4th power, just like square root is the same as to the 1/2th power.

Answer is:

16x^2 * y * z^4

- Algebra -
**Reiny**, Wednesday, March 18, 2009 at 4:40pm
you must of course also take the fourth root of 15 which is 2, so ...

2x^2 * y * z^4

- Algebra -
**Sean**, Wednesday, March 18, 2009 at 4:49pm
You are right Reiny. I got a little sloppy there and missed that.

- Thank you, both! -
**Cassie**, Wednesday, March 18, 2009 at 5:02pm
:-)

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