SOLUTION: Simplify the expressions by using the properties of rational exponents. Write the final answer using positive exponents only. (50p^-1q)^1/2 (this is the numerator) (2pq^-3)^1/

Question 107733: Simplify the expressions by using the properties of rational exponents. Write the final answer using positive exponents only.
(50p^-1q)^1/2 (this is the numerator)
(2pq^-3)^1/2 (this is the denominator)

I don't have a clue. Please help.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Yes, indeed that is ugly. But fortunately, the exponent on the numerator and denominator is the same, so we can take this first step:

Now, any coefficient with a negative exponent can move from the numerator to the denominator, or vice versa, making the exponent positive. That's because of the rule :

And then divide the 50 by the 2 in the denominator to get:

Finally, recall that . Applying this rule we get:

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