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 times 2 right parenthesis baseline

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

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

8(6÷2)

Answer 1

To simplify \( 8^6 ÷ 8^2 \) using the Quotient Rule of Exponents, you subtract the exponent of the denominator from the exponent of the numerator.

According to the Quotient Rule: \[ \frac{a^m}{a^n} = a^{m-n} \]

Applying this rule: \[ 8^6 ÷ 8^2 = 8^{6-2} \]

Therefore, the equivalent form is: \[ 8^{(6-2)} \]

So the correct response is: 8(6−2) which corresponds to 8^{(6 - 2)}.