Question

simplify. express your answer as a single term using exponents.\\(\frac{797^{2}}{797^{5}}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base, we use the rule \( \frac{a^m}{a^n} = a^{m - n} \), where \( a = 797 \), \( m = 2 \), and \( n = 5 \).

Step2: Apply the rule

Substitute the values into the rule: \( \frac{797^2}{797^5} = 797^{2 - 5} \)

Step3: Calculate the exponent

Simplify the exponent: \( 2 - 5 = -3 \), so we get \( 797^{-3} \)

Answer:

\( 797^{-3} \)