Asked by Evan and Max
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)
Answers
Answered by
GPT-4o mini
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)**.
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)**.
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