Using the Quotient Rule of Exponents, what is an equivalent form of 86÷82 ?(1 point)
Responses
8(6+2)
8 superscript left parenthesis 6 plus 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)
8 superscript left parenthesis 6 divided by 2 right parenthesis baseline
To use the Quotient Rule of Exponents, 86 ÷ 82 can be written as 8 (6-2). So, an equivalent form of 86 ÷ 82 is 8 superscript left parenthesis 6 minus 2 right parenthesis baseline.
To use the Quotient Rule of Exponents, we need to have the same base. In this case, the base is 8. The rule states that when dividing powers with the same base, you subtract the exponent in the denominator from the exponent in the numerator.
So, for 86÷82, the numerator is 6 and the denominator is 2. When we apply the Quotient Rule of Exponents, we get:
86÷82 = 8(6-2)
Simplifying further, we have:
86÷82 = 8(4)
Therefore, an equivalent form of 86÷82 using the Quotient Rule of Exponents is 8(4).