Question
If the expression 4^10
4
10
was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses
(4^5)^2
(
4
5
)
2
left parenthesis 4 superscript 5 baseline right parenthesis squared
(4^2)^8
(
4
2
)
8
left parenthesis 4 squared right parenthesis superscript 8 baseline
(4^12)^2
(
4
12
)
2
left parenthesis 4 superscript 12 baseline right parenthesis squared
4⋅4⋅4⋅4⋅4⋅4⋅4
4
10
was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses
(4^5)^2
(
4
5
)
2
left parenthesis 4 superscript 5 baseline right parenthesis squared
(4^2)^8
(
4
2
)
8
left parenthesis 4 squared right parenthesis superscript 8 baseline
(4^12)^2
(
4
12
)
2
left parenthesis 4 superscript 12 baseline right parenthesis squared
4⋅4⋅4⋅4⋅4⋅4⋅4
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \( 4^{10} \) using the Power Rule of Exponents, we rewrite it as \( (4^n)^m = 4^{n \cdot m} \).
We recognize that \( 10 \) can be expressed as \( 5 \cdot 2 \), so we can represent \( 4^{10} \) as \( (4^5)^2 \).
Thus, an equivalent expanded expression for \( 4^{10} \) is:
\( (4^5)^2 \)
The correct response is:
**(4^5)^2**
We recognize that \( 10 \) can be expressed as \( 5 \cdot 2 \), so we can represent \( 4^{10} \) as \( (4^5)^2 \).
Thus, an equivalent expanded expression for \( 4^{10} \) is:
\( (4^5)^2 \)
The correct response is:
**(4^5)^2**
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.