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