SOLUTION: √(16a^4 b^6 )/√(128a^6 b^6 ) It says to rationalize the demoninator. I wasnt sure how b^6cancels out Thanks

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Question 155421This question is from textbook Introductory Algebra
: √(16a^4 b^6 )/√(128a^6 b^6 )
It says to rationalize the demoninator. I wasnt sure how b^6cancels out

Thanks
 This question is from textbook Introductory Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
√(16a^4 b^6 )/√(128a^6 b^6 )
cancel the 16 with the 128 to get 1/8
cancel the a^4 with the a^6 to get 1/a^2
cancel the b^6 with b^6 to get 1/1
------------------------------------
Result:
= sqrt[1/8a^2]
= (1/2a)sqrt[1/2]
= (1/2a)sqrt(2/4)
= (1/4a)sqrt(2)
==================
Cheers,
Stan H.