The expression $\frac{x^{-5}}{y^6}$ can be simplified using the rules of exponents.

Step-by-step explanation:

1. Negative exponent rule: The negative exponent indicates the reciprocal. So, $x^{-5}$ can be written as $\frac{1}{x^5}$.

2. Rewrite the expression: Using this rule, we rewrite the expression: $\frac{x^{-5}}{y^6} = \frac{1}{x^5 y^6}$

So, the simplified expression is: $\frac{1}{x^5 y^6}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you simplify expressions with multiple negative exponents?
2. What is the power of a product rule for exponents?
3. How do you simplify $\frac{x^m}{x^n}$ when $m$ and $n$ are different?
4. What happens when the exponent is zero in an expression like $x^0$?
5. How can exponents be applied in real-world problems like population growth?

Tip: Remember, when multiplying terms with the same base, you can add their exponents!