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

Responses

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

8^(6+2)

1 answer

Using the Quotient Rule of Exponents, which states that \( \frac{a^m}{a^n} = a^{m-n} \), we can apply this to the expression \( 8^6 \div 8^2 \).

So, we have:

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

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

8^(6−2)