sing the Quotient Rule of Exponents, what is an equivalent form of 58÷52 ?(1 point) Responses 5(8⋅2) 5 superscript left parenthesis 8 times 2 right parenthesis baseline 5(8−2) 5 superscript left parenthesis 8 minus 2 right parenthesis baseline 5(8+2) 5 superscript left parenthesis 8 plus 2 right parenthesis baseline 5(8÷2)

1 answer

Using the Quotient Rule of Exponents, which states that \( a^m \div a^n = a^{m-n} \), we can simplify \( 5^8 \div 5^2 \).

Applying the rule:

\[ 5^8 \div 5^2 = 5^{8-2} = 5^6 \]

So the equivalent form of \( 5^8 \div 5^2 \) is:

5^(8−2)

Thus, the correct response is:

5^(8−2).