Lesson 37 — Quotient Rule for Exponents

🎯 Goal

Apply the quotient rule: \( \frac{a^m}{a^n} = a^{m-n} \).

📖 Lesson Description

• Dividing powers with the same base → subtract exponents
• Example: \( \frac{2^5}{2^3} = 2^{5-3} = 2^2 = 4 \)
• Example: \( \frac{5^7}{5^4} = 5^{3} = 125 \)

✏️ Practice

1. Compute \( \frac{3^5}{3^2} \)
2. Compute \( \frac{4^6}{4^3} \)
3. Compute \( \frac{2^8}{2^5} \)