How do I simplify an expression using rational exponents?

#(y^(-1/3)-3y^(2/3))/y^(-4/3)#

1 Answer
AltairSafir
Apr 13, 2018

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

Explanation:

#(y^(-1/3)-3y^(2/3))/(y^(-4/3))=#
#=y^(-1/3)/y^(-4/3)-3* y^(2/3)/(y^(-4/3))=#
#=y^((-1/3)+(-1)(-4/3))-3* y^(2/3+(-1(-4/3))=#
#=y^((-1/3)+4/3)-3* y^(2/3+4/3)=#
#=y^(3/3)-3*y^(6/3)=#
#=y-3*y^2#

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