To answer the question regarding the quotient rule of exponents, we first need to understand what the quotient rule states. The quotient rule of exponents tells us that when we divide two expressions with the same base, we subtract the exponent of the denominator from the exponent of the numerator.
For example: If we have \( a^m / a^n \), the rule states that: \[ \frac{a^m}{a^n} = a^{m-n} \]
Now let's analyze the options given:
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Keep the base the same. - True, according to the quotient rule, we do keep the base the same.
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Add the exponents to get 29. - This is False; we do not add exponents when dividing.
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Subtract the exponents to get 21. - If this is in reference to a specific example where \( m - n = 21 \), it would be True. If it’s a general statement without context, we cannot definitively say whether it is True or False.
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The final answer is 74621. - This does not seem relevant, since no calculation has been provided that leads to this answer, making it likely False.
So, the best responses based on the quotient rule of exponents would be:
- True: Keep the base the same.
- False: Add the exponents to get 29.
- Conditional True: Subtract the exponents to get 21 (if specific numbers confirm this).
- False: The final answer is 74621 (as this appears irrelevant without context).
If you are looking for a single-answer response based on the concept of the quotient rule, the statement "Keep the base the same" is True.
1 answer