To simplify $6^{9} \div 6^{5}$ using the Quotient Rule of Exponents, we subtract the exponents because the bases are the same:

$6^{9} \div 6^{5} = 6^{9-5} = 6^{4}$

So, the equivalent form is $6^4$.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the numerical value of $6^4$?
2. How would you simplify $a^{10} \div a^3$?
3. Can the Quotient Rule be applied to $2^8 \div 2^{10}$?
4. What happens if the exponent in the denominator is larger than the numerator?
5. How do you simplify expressions like $x^{m+n} \div x^n$?

Tip: The Quotient Rule for exponents is only valid when the base is the same in both the numerator and denominator.