Question
Match each exponent rule with its correct mathematical operation.(4 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Negative Exponent Rule
Press enter key to drop response here.
Quotient Rule
Press enter key to drop response here.
Product Rule
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Power Rule
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Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Negative Exponent Rule
Press enter key to drop response here.
Quotient Rule
Press enter key to drop response here.
Product Rule
Press enter key to drop response here.
Power Rule
Press enter key to drop response here.
Answers
GPT-4o mini
Here are the matches for each exponent rule with their corresponding mathematical operation:
1. **Negative Exponent Rule**: \( a^{-n} = \frac{1}{a^{n}} \)
2. **Quotient Rule**: \( \frac{a^{m}}{a^{n}} = a^{m-n} \)
3. **Product Rule**: \( a^{m} \cdot a^{n} = a^{m+n} \)
4. **Power Rule**: \( (a^{m})^{n} = a^{m \cdot n} \)
Feel free to place the responses accordingly!
1. **Negative Exponent Rule**: \( a^{-n} = \frac{1}{a^{n}} \)
2. **Quotient Rule**: \( \frac{a^{m}}{a^{n}} = a^{m-n} \)
3. **Product Rule**: \( a^{m} \cdot a^{n} = a^{m+n} \)
4. **Power Rule**: \( (a^{m})^{n} = a^{m \cdot n} \)
Feel free to place the responses accordingly!