SOLUTION: How do I simplify, instructions are "use rational exponents to simplify" this please: ^4 sqrt x^-28 I don't understand how a NEGATIVE power will affect the ^4 sqrt x Plea

Algebra ->  Exponents -> SOLUTION: How do I simplify, instructions are "use rational exponents to simplify" this please: ^4 sqrt x^-28 I don't understand how a NEGATIVE power will affect the ^4 sqrt x Plea      Log On


   



Question 531816: How do I simplify, instructions are "use rational exponents to simplify"
this please:
^4 sqrt x^-28
I don't understand how a NEGATIVE power will affect the ^4 sqrt x
Please help.
Thank you!
~Adelaide

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify"
this please:
^4 sqrt x^-28
Assume the problem is the 4th root of x^-28, written here like this:
4sqrt%28x%5E-28%29
remember you can always get rid of negative exponent using it's reciprocal
4sqrt%281%2Fx%5E28%29
In order to understand this we can write it

extract the 4th root of each and we have

which is
1%2Fx%5E7
:
But we can sum all this up in one sentence, the 4th root of the 28th power = 7