Question

which is equal to $782^{-265}$?\
\\(\frac{1}{782^{265}}\\) \\(\frac{1}{(-782)^{265}}\\) \\(\frac{1}{(-782)^{-265}}\\) \\(782^{265}\\)

Explanation:

Step1: Apply negative exponent rule

For any non-zero number $a$ and integer $n$, $a^{-n} = \frac{1}{a^n}$. Here, $a=782$ and $n=265$.
$782^{-265} = \frac{1}{782^{265}}$

Step2: Match with given options

Compare the result to the provided choices to identify the equivalent expression.

Answer:

$\frac{1}{782^{265}}$