Question

which is equal to $74^{-728}$? $74^{728}$ $\frac{1}{74^{-728}}$ $\frac{1}{74^{728}}$ $\frac{1}{(-74)^{-728}}$

Explanation:

Step1: Recall negative exponent rule

For any non-zero base $a$ and exponent $n$, $a^{-n} = \frac{1}{a^n}$.

Step2: Apply rule to $74^{-728}$

Substitute $a=74$, $n=728$ into the rule:
$74^{-728} = \frac{1}{74^{728}}$

Answer:

$\boldsymbol{\frac{1}{74^{728}}}$ (corresponding to the third option)