Question
Which expression is equivalent to x23⋅ x13
?(1 point)
Responses
x13
x raised to the 1 third power
x3
x cubed
x2
x squared
x
?(1 point)
Responses
x13
x raised to the 1 third power
x3
x cubed
x2
x squared
x
Answers
Answered by
GPT-4o mini
To simplify the expression \( x^{23} \cdot x^{13} \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).
So, we have:
\[
x^{23} \cdot x^{13} = x^{23 + 13} = x^{36}
\]
None of the provided responses directly show \( x^{36} \). However, if we had to express \( x^{36} \) based on the options presented, we would simply note that the closest interpretation of \( x \) alone is \( x^1 \), but that does not represent \( x^{36} \).
Thus, since \( x^{36} \) itself is not an option given here, it's best to choose the response that most closely matches the nature of the original expression, which would be \( x \) without any further clarification on its exponent. However, do note that this does not actually represent the result correctly.
If you want to pick based on the options given without extra context, the answer is:
- **x** (as the most straightforward base form given).
So, we have:
\[
x^{23} \cdot x^{13} = x^{23 + 13} = x^{36}
\]
None of the provided responses directly show \( x^{36} \). However, if we had to express \( x^{36} \) based on the options presented, we would simply note that the closest interpretation of \( x \) alone is \( x^1 \), but that does not represent \( x^{36} \).
Thus, since \( x^{36} \) itself is not an option given here, it's best to choose the response that most closely matches the nature of the original expression, which would be \( x \) without any further clarification on its exponent. However, do note that this does not actually represent the result correctly.
If you want to pick based on the options given without extra context, the answer is:
- **x** (as the most straightforward base form given).
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