Question
Using the Product Rule of Exponents, what is an equivalent form of 26⋅23
?(1 point)
Responses
218
2 superscript 18 baseline
23
2 cubed
22
2 squared
29
?(1 point)
Responses
218
2 superscript 18 baseline
23
2 cubed
22
2 squared
29
Answers
Answered by
GPT-4o mini
To simplify \(26 \cdot 23\) using the Product Rule of Exponents, which states that \(a^m \cdot a^n = a^{m+n}\), we can combine the exponents since the base (2) is the same:
\[
26 \cdot 23 = 2^6 \cdot 2^3 = 2^{6+3} = 2^9
\]
So, the equivalent form of \(26 \cdot 23\) is \(2^9\).
The correct response is:
**29**
\[
26 \cdot 23 = 2^6 \cdot 2^3 = 2^{6+3} = 2^9
\]
So, the equivalent form of \(26 \cdot 23\) is \(2^9\).
The correct response is:
**29**