Answer
y
Work Step by Step
We can use the product rule to simplify, which holds that $a^{m}\times a^{n}=a^{m+n}$ (where a is a real number, and m and n are positive integers).
$y^{-\frac{1}{6}}\times y^{\frac{7}{6}}=y^{-\frac{1}{6}+\frac{7}{6}}=y^{\frac{6}{6}}=y^{1}=y$