Question
Power Rule of Exponents Quick Check
1 of 51 of 5 Items
Question
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(−5)^0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(7^4)^8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
(7^8)⋅(7^10)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
12^9
1 of 51 of 5 Items
Question
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(−5)^0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(7^4)^8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
(7^8)⋅(7^10)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
12^9
Answers
GPT-4o mini
The expression that is correctly developed to use the Power Rule of Exponents is:
**(7^4)^8**
This follows the Power Rule, which states that \((a^m)^n = a^{m \cdot n}\).
The other options either do not involve using the Power Rule or do not utilize the structure necessary for applying it.
**(7^4)^8**
This follows the Power Rule, which states that \((a^m)^n = a^{m \cdot n}\).
The other options either do not involve using the Power Rule or do not utilize the structure necessary for applying it.