Question

simplify: \\(\frac{5^7}{5^2}\\)
25
\\(5^5\\)
\\(5^2\\)
\\(5^9\\)

Explanation:

Step1: Recall exponent rule

For \( \frac{a^m}{a^n} \), use \( a^m\div a^n = a^{m - n} \) (when \( a
eq0 \)). Here, \( a = 5 \), \( m = 7 \), \( n = 2 \).

Step2: Apply the rule

\( \frac{5^7}{5^2}=5^{7 - 2}=5^5 \).

Answer:

\( 5^5 \) (corresponding to the option with text \( 5^5 \))