Question

which is equal to \\(\frac{1}{4^{97}}\\)? \\(-4^{97}\\) \\(-(-4)^{97}\\) \\(-\frac{1}{4^{-97}}\\) \\(4^{-97}\\)

Explanation:

Step1: Recall negative exponent rule

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

Step2: Apply rule to given expression

Here, $a=4$ and $n=97$, so $\frac{1}{4^{97}} = 4^{-97}$.

Answer:

$4^{-97}$