document.write( "Question 228645: I want to know how to solve this step by step. The Cube root of
\n" ); document.write( "((x^2y^6)/(2x^5))
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Algebra.Com's Answer #169671 by nerdybill(7384)\"\" \"About 
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((x^2y^6)/(2x^5))
\n" ); document.write( "Canceling like-term x's:
\n" ); document.write( "((y^6)/(2x^3))
\n" ); document.write( "((y^2)^3/6(2x^3))
\n" ); document.write( "Taking the cube root:
\n" ); document.write( "y^2/x * cuberoot(1/2)
\n" ); document.write( "Or, this can be written as:
\n" ); document.write( "y^2/x * 1/2^(1/3)
\n" ); document.write( "Rationalizing:
\n" ); document.write( "y^2/x * 1/2^(1/3) * 2^(2/3)/2^(2/3)
\n" ); document.write( "y^2/x * 2^(2/3)/2
\n" ); document.write( "y^2/x * cuberoot(4)/2
\n" ); document.write( "[y^2*cuberoot(4)]/[2x]\r
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