How do you write #(4x^(1/3)y^(5/3))/(16x^(4/3)y^(2/3))# in radical form?

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Evan Share
Apr 28, 2018

Answer:

#y/(4x)#

Explanation:

#(4x^(1/3)y^(5/3))/(16x^(4/3)y^(2/3))#

Separate the fraction into like-terms,

#4/16*(x^(1/3))/(x^(4/3))*(y^(5/3))/(y^(2/3))#

Apply division rule,

#1/4*x^(1/3-4/3)*y^(5/3-2/3)#

Simplify,

#1/4*x^-1*y#

Combine,

#y/(4x)#

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