In this video, I explain the basics of exponents and introduce some of the most commonly used formulas for solving exponent-related problems. These formulas include:
\(
\text{1. Product of Powers: } a^m \cdot a^n = a^{m+n} \\ \\
\text{2. Quotient of Powers: } a^m \div a^n = a^{m-n} \\ \\
\text{3. Power of a Power: } (a^m)^n = a^{mn} \\ \\
\text{4. Power of a Product: } (ab)^n = a^n \cdot b^n \\ \\
\text{5. Power of a Quotient: } (a/b)^n = a^n / b^n \\ \\
\text{6. Zero Exponent: } a^0 = 1 \quad \text{(where } a \neq 0\text{)} \\ \\
\text{7. Negative Exponent: } a^{-n} = 1/a^n
\)
Watch the full video to understand the fundamental concepts of exponents and learn how to apply these formulas in practice.
There is also a quiz on this topic, and the link is provided below. By solving the questions, you can test your understanding and see how much you have learned.
Links to the related quiz are here: