Answer:
The correct options are 2 and 5. The value of n is either -4 or 4.
Step-by-step explanation:
The given equation is
\(n^{-2}=\frac{1}{16}\)
Using the property of exponent it can be written as
\(\frac{1}{n^{2}}=\frac{1}{16}\) \([\because a^{-n}=\frac{1}{a^n}]\)
On comparing both the sides we get
\(n^2=16\)
Taking square root both the sides.
\(n=\pm\sqrt{16}\)
\(n=\pm 4\)
The value of n is either -4 or 4. Therefore the correct options are 2 and 5.
