Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
129
12 superscript 9 baseline
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline
(78)⋅(710)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
(78)⋅(710)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis
Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)
Responses
102
10 superscript 2 baseline
907
90 superscript 7 baseline
1063
10 superscript 63 baseline
1016
10 superscript 16 baseline
109 is raised to the power of 7, so the correct expression using the Power Rule of Exponents would be 1097
The expression that is correctly developed to use the Power Rule of Exponents is:
(7^4)^8
The correct expression developed to use the Power Rule of Exponents is option 2: 12^9.
To explain how to get this answer using the Power Rule of Exponents, we need to understand the rule itself. The Power Rule states that when you raise a power to another power, you multiply the exponents together.
In the given expression, we have 12 raised to the power of 9, which means we need to multiply the exponent 9 with the exponent of the base, which is 1.
So, 12^9 can be calculated as 1 times 9, which equals 9. Therefore, the correct expression is 12^9.