Verified Answer :

Answer: Option B. \(16^4\) is the correct answer.

Explanation: Since, Given expression is \((1/16)^-4\)

And, we can write \((\frac{1}{16})^{-4}= 1^{-4}/16^{-4}=1/16^{-4}\)

since, we know that, \(a^m=1/a^-m\)

similarly, we can write, \(1/16^{-4}=\frac{1}{1/16^4} =16^4\).( because, we can write,  \(\frac{a}{b/c} =\frac{ac}{b}\).)

hence \((1/16)^-4=16^4\) is correct.






gmany

Answer:

\(\large\boxed{B)\ 16^4}\)

Step-by-step explanation:

\(\text{Use}\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\\left(\dfrac{1}{16}\right)^{-4}=\left(\dfrac{16}{1}\right)^4=16^4\)

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