To simplify \( 5^8 \div 5^2 \) using the Quotient Rule of Exponents, you subtract the exponents. The Quotient Rule states that:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case:
\[ 5^8 \div 5^2 = 5^{8-2} = 5^6 \]
Among the given responses, the correct equivalent form of \( 5^8 \div 5^2 \) is:
\( 5^{(8-2)} \)
So, the correct response is:
\( 5^{(8-2)} \) (which is equivalent to \( 5^6 \)).