SOLUTION: Please walk me through each step: Rationalize the denominator:
3x divided by index 5 root of 2x^2y^3. They say answer is 3 times index 5 root of 16x^3y^2 divided by 2y
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Question 200941: Please walk me through each step: Rationalize the denominator:
3x divided by index 5 root of 2x^2y^3. They say answer is 3 times index 5 root of 16x^3y^2 divided by 2y
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Rationalize the denominator:
3x divided by index 5 root of 2x^2y^3. They say answer is 3 times index 5 root of 16x^3y^2 divided by 2y
---------------------------------------
Rewrite the problem as:
(3x)/(2x^2y^3)^(1/5)
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Multiply numerator and denominator by 2^(4)*x^(3)*y^(2) to get:
{(3x)[2^(4)*x^(3)*y^(2)]^(1/5)/[2^5*x^5*y^5]^(1/5)
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Simplify:
{(3x)[(2^(4)*x^(3)*y^(2)]^(1/5)/[2xy]
------------
Cancel the "x" factor to get:
= [3[(2^(4)*x^(3)*y^(2)]^(1/5)/[2y]
===========================================
Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x divided by index 5 root of 2x^2y^3
=
Multiply NUM and DEN by
=
Cancel the x's and expand the 4th power.
=
Take the x^5y^10 out of the 1/5 power
=
Cancel the xy^2
=
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