To solve the expression $\frac{6^5}{6^3}$:

You can apply the property of exponents:

$\frac{a^m}{a^n} = a^{m-n}$

Here, $a = 6$, $m = 5$, and $n = 3$. So:

$\frac{6^5}{6^3} = 6^{5-3} = 6^2 = 36$

So, the answer is $36$.

Would you like more details or have any questions?

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Here are 5 related questions for further practice:

1. What is the value of $\frac{7^4}{7^2}$?
2. Simplify $\frac{8^6}{8^4}$.
3. How would you simplify $\frac{10^7}{10^3}$?
4. Calculate $\frac{9^3}{9^2}$.
5. What is $\frac{5^5}{5^1}$?

Tip: Remember that when dividing powers with the same base, you subtract the exponents.