Question

divide coefficient-keep base-subtract exponents
choose an answer
1 product of a power
2 different bases
3 negative exponents
4 quotient of a power
dont know?

Explanation:

Step1: Recall exponent rules

The rule for dividing powers with the same base is \( \frac{a^m}{a^n}=a^{m - n} \), which is the Quotient of a Power rule. The description "Divide coefficient - Keep base - SUBTRACT exponents" matches this rule.

Step2: Analyze options

• Option 1 (Product of a Power) is for multiplying powers (\(a^m\times a^n = a^{m + n}\)), not dividing.
• Option 2 (Different Bases) doesn't apply as the rule here is for same base.
• Option 3 (Negative Exponents) is about \(a^{-n}=\frac{1}{a^n}\), not division of same - base powers.
• Option 4 (Quotient of a Power) matches the "subtract exponents" when dividing same - base powers.

Answer:

1. Quotient of a Power