SOLUTION: ∛2x× ∛(4x^2 y^2 )×∛(2y^(4 ) ) how to simplify?

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Question 487007: ∛2x× ∛(4x^2 y^2 )×∛(2y^(4 ) )
how to simplify?

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


Write all as one cube root:



Break everything into prime factors:



Remove the parentheses:



Rearrange, putting like factors together:



Since the index of a cube root is 3, group
like factors by 3's:



Write each group of 3 as a cube:



Write as a product of cube roots:



To take the cube root of a cube, eliminate the radical and the exponent:





Edwin


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