SOLUTION: I am having trouble working out the expression (25(x^4)(y^6))^(1/2) the book says the answer is 5x^2|y|^3 Thank you for your time and help.

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Question 986452: I am having trouble working out the expression (25(x^4)(y^6))^(1/2)
the book says the answer is 5x^2|y|^3
Thank you for your time and help.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I am having trouble working out the expression (25(x^4)(y^6))^(1/2)
the book says the answer is 5x^2|y|^3
-----
The book is correct.
Since the exponent is on the outer parentheses,
take the square root of each factor
sqrt(25) = 5
sqrt(x^4) = x^2
sqrt(y^6) = y^3
-------
So the answer is 5*x^2*y^3
-------------
Cheers,
Stan H.
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