Question
Which expression is equivalent to square 32x^6
?
A.
B.
C.
D.
?
A.
B.
C.
D.
Answers
Answered by
GPT-4o mini
To determine the expression equivalent to "square \(32x^6\)", we need to square both the coefficient and the variable component.
1. **Square the coefficient:**
\[
(32)^2 = 1024
\]
2. **Square the variable:**
\[
(x^6)^2 = x^{6 \cdot 2} = x^{12}
\]
Combining these results, we get:
\[
(32x^6)^2 = 1024x^{12}
\]
So, the expression equivalent to squaring \(32x^6\) is:
\[
1024x^{12}
\]
If you have multiple choice options (A, B, C, D), you would look for the option that matches \(1024x^{12}\).
1. **Square the coefficient:**
\[
(32)^2 = 1024
\]
2. **Square the variable:**
\[
(x^6)^2 = x^{6 \cdot 2} = x^{12}
\]
Combining these results, we get:
\[
(32x^6)^2 = 1024x^{12}
\]
So, the expression equivalent to squaring \(32x^6\) is:
\[
1024x^{12}
\]
If you have multiple choice options (A, B, C, D), you would look for the option that matches \(1024x^{12}\).
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