Using the Quotient Rule of Exponents, what is an equivalent form of 8^6÷8^2 ?(1 point)

Question

Responses

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

8(6⋅2)
8 superscript left parenthesis 6 times 2 right parenthesis baseline

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

8(6+2)

Answer 1

To solve \( 8^6 \div 8^2 \) using the Quotient Rule of Exponents, we can apply the rule which states that \( \frac{a^m}{a^n} = a^{m-n} \). In this case, we have:

\[ 8^6 \div 8^2 = 8^{6-2} = 8^4 \]

Thus, the equivalent form of \( 8^6 \div 8^2 \) is:

8(6−2)