Answer
3, 6, 6, 2
Work Step by Step
Based on the power rule for exponents, we know that $(a^{m})^{n}=a^{mn}$ (where $m$ and $n$ are positive integers and $a$ is a real number).
Therefore, $(y^{3})^{6}\times(y^{6})^{2}=y^{3\times6}\times y^{6\times2}=y^{18}\times y^{12}$.
Based on the product rule for exponents, we know that $a^{m}\times a^{n}=a^{m+n}$ (where $m$ and $n$ are positive integers and $a$ is a real number).
Therefore, $y^{18}\times y^{12}=y^{18+12}=y^{30}$.