Question

Match the exponent rule to the correct name
Names
Product rule
Quotient rule
Power of a power rule
Power of a product rule
Power of a quotient rule
Zero exponent rule
a^0=1
(an)^m= a^m n^m
a^m/ a^n= a^m-^n
(a/b)^m= a^m/b^m
(a^m)^n= a^m^n
a^m *a^n= a^m^+^n

Answers

GPT-4o mini
Here are the exponent rules matched to their correct names:

1. **Product rule**: \( a^m \cdot a^n = a^{m+n} \)

2. **Quotient 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**: \( (ab)^m = a^m \cdot b^m \)

5. **Power of a quotient rule**: \( \left(\frac{a}{b}\right)^m = \frac{a^m}{b^m} \)

6. **Zero exponent rule**: \( a^0 = 1 \)

Let me know if you need anything else!

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