To simplify \( 2^6 \cdot 2^3 \) using the Product Rule of Exponents, we add the exponents:
\[ 2^6 \cdot 2^3 = 2^{6+3} = 2^9 \]
Thus, the equivalent form of \( 2^6 \cdot 2^3 \) is \( 2^9 \).
The correct response is:
29 (2 superscript 9 baseline)
Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)
Responses
29
2 superscript 9 baseline
23
2 cubed
22
2 squared
218
2 superscript 18 baseline
1 answer
To simplify \( 2^6 \cdot 2^3 \) using the Product Rule of Exponents, we add the exponents:
\[ 2^6 \cdot 2^3 = 2^{6+3} = 2^9 \]
Thus, the equivalent form of \( 2^6 \cdot 2^3 \) is \( 2^9 \).
The correct response is:
29 (2 superscript 9 baseline)