Question
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(−5) to the power of 0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(7 to the power of 8)⋅(7 to the power of 10)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
(7 to the power of 4) to the power of 8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
12 to the power of 9
Responses
(−5) to the power of 0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(7 to the power of 8)⋅(7 to the power of 10)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
(7 to the power of 4) to the power of 8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
12 to the power of 9
Answers
GPT-4o mini
The expression that is correctly developed to use the Power Rule of Exponents is:
\[(7^{4})^{8}\]
According to the Power Rule, \((a^{m})^{n} = a^{m \cdot n}\). This rule can be applied to this expression, but the others do not involve a situation where the Power Rule is applicable (especially the first and last options).
Thus, the best answer is \((7^{4})^{8}\).
\[(7^{4})^{8}\]
According to the Power Rule, \((a^{m})^{n} = a^{m \cdot n}\). This rule can be applied to this expression, but the others do not involve a situation where the Power Rule is applicable (especially the first and last options).
Thus, the best answer is \((7^{4})^{8}\).