Using the Quotient Rule of Exponents, what is an equivalent form of 5^8÷5^2 ?(1 point)

Question

Responses

5(8⋅2)
5 superscript left parenthesis 8 times 2 right parenthesis baseline

5(8÷2)
5 superscript left parenthesis 8 divided by 2 right parenthesis baseline

5(8+2)
5 superscript left parenthesis 8 plus 2 right parenthesis baseline

5(8−2)

Answer 1

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

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

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

5(8−2)

So, the correct response is: 5 superscript left parenthesis 8 minus 2 right parenthesis baseline.