Using the Product Rule of Exponents, what is an equivalent form of 82⋅86 ?(1 point)

Question

Responses

8(2+6)
8 superscript left parenthesis 2 plus 6 right parenthesis baseline

8(2−6)
8 superscript left parenthesis 2 minus 6 right parenthesis baseline

8(2÷6)
8 superscript left parenthesis 2 divided by 6 right parenthesis baseline

8(2⋅6)

Answer 1

Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can simplify \( 8^2 \cdot 8^6 \) as follows:

\[ 8^2 \cdot 8^6 = 8^{2+6} \]

Thus, the equivalent form is:

\[ 8^{(2+6)} \]

So the correct response is 8(2+6).