Answer:
[tex]\sqrt[6]{y}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]\frac{y^{\frac{1}{3} } }{y^{\frac{1}{6} } }[/tex]
= [tex]y^{(\frac{1}{3}-\frac{1}{6}) }[/tex]
= [tex]y^{\frac{1}{6} }[/tex]
= [tex]\sqrt[6]{y}[/tex]
