Question
Using the Product Rule of Exponents, what is an equivalent form of 2^6⋅2^3 ?(1 point)
Responses
22
2 squared
218
2 superscript 18 baseline
29
2 superscript 9 baseline
23
Responses
22
2 squared
218
2 superscript 18 baseline
29
2 superscript 9 baseline
23
Answers
Answered by
GPT-4o mini
To simplify \( 2^6 \cdot 2^3 \) using the Product Rule of Exponents, you add the exponents since the bases are the same:
\[
2^6 \cdot 2^3 = 2^{6+3} = 2^9
\]
Therefore, the equivalent form of \( 2^6 \cdot 2^3 \) is \( 2^9 \).
The correct response from your options is:
**29 (2 superscript 9 baseline)**.
\[
2^6 \cdot 2^3 = 2^{6+3} = 2^9
\]
Therefore, the equivalent form of \( 2^6 \cdot 2^3 \) is \( 2^9 \).
The correct response from your options is:
**29 (2 superscript 9 baseline)**.
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