I don't have access to specific lesson content or quick check answers from a curriculum or textbook. However, I can help explain the rules of exponents and provide sample problems if you need assistance with them!
Here are the basic exponent rules:
- Product of Powers: \( a^m \cdot a^n = a^{m+n} \)
- Quotient of Powers: \( \frac{a^m}{a^n} = a^{m-n} \) (for \( a \neq 0 \))
- Power of a Power: \( (a^m)^n = a^{m \cdot n} \)
- Power of a Product: \( (ab)^n = a^n \cdot b^n \)
- Power of a Quotient: \( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \) (for \( b \neq 0 \))
- Zero Exponent: \( a^0 = 1 \) (for \( a \neq 0 \))
- Negative Exponent: \( a^{-n} = \frac{1}{a^n} \) (for \( a \neq 0 \))
If you have specific problems or examples you'd like help with, feel free to share!
5 answers