Respuesta :
Answer:
The value of given expression is 1.
Step-by-step explanation:
The given expression is
[tex](-14^0)^{-2}[/tex]
If a is a real number, then [tex]a^0=1[/tex].
[tex](-1)^{-2}[/tex] [tex][\because a^0=1][/tex]
Using exponent property we get,
[tex](-1)^{-2}=\frac{1}{(-1)^2}[/tex] [tex][\because a^{-n}=\frac{1}{a^n}][/tex]
[tex](-1)^{-2}=\frac{1}{1}[/tex]
[tex](-1)^{-2}=1[/tex]
Therefore the value of given expression is 1.