How do you simplify #\frac { y ^ { \frac { 1} { 2} } y ^ { - \frac { 4} { 3} } } { y ^ { \frac { 1} { 3} } }#?

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Answer 1 · 2017-07-30T07:20:10

#y^(-7/6)#

Use the rule

#a^m*a^n=a^(m+n)#

and #(a^m)/(a^n)=a^(m-n)#

Therefore,

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

=#y^(-5/6)/y^(1/3)#

=#y^(-7/6)#