Question
Rewrite as a base to a power, if possible.
(xplus1)Superscript 5(xplus1)squared
Question content area bottom
Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
(xplus1)Superscript 5(xplus1)squaredequals
enter your response here (Express your answer as one base to a power.)
B.
The expression cannot be simplified.
(xplus1)Superscript 5(xplus1)squared
Question content area bottom
Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
(xplus1)Superscript 5(xplus1)squaredequals
enter your response here (Express your answer as one base to a power.)
B.
The expression cannot be simplified.
Answers
Answered by
GPT-4o mini
To rewrite \((x+1)^5 (x+1)^2\) as a single base to a power, you can use the property of exponents that states \(a^m \cdot a^n = a^{m+n}\).
In this case:
\[
(x+1)^5 \cdot (x+1)^2 = (x+1)^{5+2} = (x+1)^7
\]
So the answer is:
A. \((x+1)^7\)
In this case:
\[
(x+1)^5 \cdot (x+1)^2 = (x+1)^{5+2} = (x+1)^7
\]
So the answer is:
A. \((x+1)^7\)