simplify.\n\\frac{y}{y^{6}}

Explanation:

Step1: Apply the quotient rule of exponents

The quotient rule states that $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = y$, $m = 1$ (since $y=y^1$), and $n = 6$. So, $\frac{y}{y^{6}}=y^{1-6}$.

Step2: Calculate the exponent

$1-6=-5$. So, $y^{1 - 6}=y^{-5}$.

Step3: Rewrite using positive exponent

Using the rule $a^{-n}=\frac{1}{a^{n}}$, $y^{-5}=\frac{1}{y^{5}}$.

Answer:

$\frac{1}{y^{5}}$