Question

Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)
Responses

23
2 cubed

218
2 superscript 18 baseline

22
2 squared

29
2 superscript 9 baseline

Answer 1

To simplify \( 26 \cdot 23 \) using the Product Rule of Exponents, we can add the exponents since the bases are the same:

\[
26 \cdot 23 = 2^{6} \cdot 2^{3} = 2^{6+3} = 2^{9}
\]

So, an equivalent form of \( 26 \cdot 23 \) is \( 2^{9} \).

The correct response is:

**29**
\( 2^{9} \)