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 divided by 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 times 2 right parenthesis baseline
8^(6+2)
8^(6−2)
Using the Quotient Rule of Exponents, what is an equivalent form of 2^6÷2^3
Using the Quotient Rule of Exponents, an equivalent form of 2^6 ÷ 2^3 is 2^(6-3).
To find an equivalent form of 8^6 ÷ 8^2 using the Quotient Rule of Exponents, we subtract the exponents, resulting in 8^(6-2). Therefore, the correct answer is 8^(6-2).
To use the Quotient Rule of Exponents to find an equivalent form of 8^6 ÷ 8^2, we can subtract the exponents. According to the Quotient Rule of Exponents, when dividing two numbers with the same base, we keep the base the same and subtract the exponents.
Therefore, an equivalent form of 8^6 ÷ 8^2 can be expressed as 8^(6 - 2).
So, the correct answer is 8^(6 - 2), which is option: 8 superscript left parenthesis 6 minus 2 right parenthesis baseline.