SOLUTION: use rational exponents to simplify: ^5√x^-30

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Question 254531: use rational exponents to simplify: ^5√x^-30
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming the problem is to simplify root%285%2C+x%5E%28-30%29%29...

Radicals can be rewritten as fractional exponents. 5th roots are exponents of 1/5. Replacing the radical with an exponent of 1/5 we get:
%28x%5E%28-30%29%29%5E%281%2F5%29
Now we can use the rule for exponents, %28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29:
x%5E%28-30%2A%281%2F5%29%29+=+x%5E%28-6%29
So x%5E%28-6%29 is your answer unless you want positive exponents. With positive exponents it would be: 1%2Fx%5E6