Question

simplify. express your answer as a single term using exponents.\\(\frac{755^{3}}{755^{7}}\\)

Explanation:

Step1: Apply exponent quotient rule

For \( \frac{a^m}{a^n} = a^{m - n} \), here \( a = 755 \), \( m = 3 \), \( n = 7 \).
\( \frac{755^3}{755^7}=755^{3 - 7} \)

Step2: Calculate the exponent

\( 3-7=-4 \), so \( 755^{3 - 7}=755^{-4} \)

Answer:

\( 755^{-4} \)