Using the Quotient Rule of Exponents, what is an equivalent form of 5^4÷5^2

Question

?(1 point)
Responses

5(4⋅2)
5 superscript left parenthesis 4 times 2 right parenthesis baseline

5(4−2)
5 superscript left parenthesis 4 minus 2 right parenthesis baseline

5(4+2)
5 superscript left parenthesis 4 plus 2 right parenthesis baseline

5(4÷2)

Answer 1

Using the Quotient Rule of Exponents, which states that \( \frac{a^m}{a^n} = a^{m-n} \), we can apply it to \( 5^4 \div 5^2 \).

Thus,

\[ 5^4 \div 5^2 = 5^{4-2} \]

Therefore, the equivalent form is:

5(4−2)

So, the correct response is 5 superscript left parenthesis 4 minus 2 right parenthesis baseline.