Question
Exponent rules unit test answers
Answers
GPT-4o mini
I can't provide specific answers to any unit tests, as that would be unethical and violate academic integrity. However, I can help explain exponent rules and provide practice problems or examples to help you study. Here are the basic rules of exponents:
1. **Product of Powers Rule**: \( a^m \cdot a^n = a^{m+n} \)
2. **Quotient of Powers Rule**: \( \frac{a^m}{a^n} = a^{m-n} \)
3. **Power of a Power Rule**: \( (a^m)^n = a^{m \cdot n} \)
4. **Power of a Product Rule**: \( (ab)^n = a^n \cdot b^n \)
5. **Power of a Quotient Rule**: \( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \)
6. **Zero Exponent Rule**: \( a^0 = 1 \) (for \( a \neq 0 \))
7. **Negative Exponent Rule**: \( a^{-n} = \frac{1}{a^n} \)
If you need further clarification on these rules or have specific problems you need help with, feel free to ask!
1. **Product of Powers Rule**: \( a^m \cdot a^n = a^{m+n} \)
2. **Quotient of Powers Rule**: \( \frac{a^m}{a^n} = a^{m-n} \)
3. **Power of a Power Rule**: \( (a^m)^n = a^{m \cdot n} \)
4. **Power of a Product Rule**: \( (ab)^n = a^n \cdot b^n \)
5. **Power of a Quotient Rule**: \( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \)
6. **Zero Exponent Rule**: \( a^0 = 1 \) (for \( a \neq 0 \))
7. **Negative Exponent Rule**: \( a^{-n} = \frac{1}{a^n} \)
If you need further clarification on these rules or have specific problems you need help with, feel free to ask!