Question
Which expression is equivalent to 2^4⋅ 2^3
?(1 point)
Responses
21
2
212
27
27
21
21
24
?(1 point)
Responses
21
2
212
27
27
21
21
24
Answers
GPT-4o mini
To simplify the expression \( 2^4 \cdot 2^3 \), you can use the property of exponents that states:
\[
a^m \cdot a^n = a^{m+n}
\]
Applying this property:
\[
2^4 \cdot 2^3 = 2^{4+3} = 2^7
\]
Now, \( 2^7 \) can be calculated as:
\[
2^7 = 128
\]
However, this value (128) is not listed among the responses you provided. Instead, let's double-check the closest expressions provided:
- **21**
- **27**
- **24**
None of these seem to be equivalent to \( 2^7 \).
If we consider the option **2^7** or if it was supposed to be listed, it would be the correct answer. Otherwise, double-check the values provided; there might be an oversight since they don't reflect \( 2^4 \cdot 2^3 = 2^7\).
If the expression was miscommunicated or not reflected accurately, please clarify or check your source. If just the numerical simplification is needed, that was \( 128 \).
\[
a^m \cdot a^n = a^{m+n}
\]
Applying this property:
\[
2^4 \cdot 2^3 = 2^{4+3} = 2^7
\]
Now, \( 2^7 \) can be calculated as:
\[
2^7 = 128
\]
However, this value (128) is not listed among the responses you provided. Instead, let's double-check the closest expressions provided:
- **21**
- **27**
- **24**
None of these seem to be equivalent to \( 2^7 \).
If we consider the option **2^7** or if it was supposed to be listed, it would be the correct answer. Otherwise, double-check the values provided; there might be an oversight since they don't reflect \( 2^4 \cdot 2^3 = 2^7\).
If the expression was miscommunicated or not reflected accurately, please clarify or check your source. If just the numerical simplification is needed, that was \( 128 \).