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.

Learn how to simplify the expression 6⁵ ÷ 6³ using the laws of exponents. This problem demonstrates the application of exponent rules, specifically the division of powers with the same base, and is suitable for students in Grades 6-8.

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