Answer:
x = 7 , y = 12
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
consider left side
[tex]6^{\frac{1}{3} }[/tex] × [tex]6^{\frac{1}{4} }[/tex]
= [tex]6^{(\frac{1}{3}+\frac{1}{4}) }[/tex]
= [tex]6^{(\frac{4}{12}+\frac{3}{12}) }[/tex]
= [tex]6^{\frac{7}{12} }[/tex] = [tex]6^{\frac{x}{y} }[/tex] , comparing exponents , then
x = 7 and y = 12
