Answer:
Exponent rules used:
- [tex]a^{-b}=\dfrac{1}{a^b}[/tex]
- [tex](-a)^b=a^b \ \ \ \textsf{if b is even}[/tex]
- [tex]a^0=1, \ a\neq 0[/tex]
[tex]x^{-2}=\dfrac{1}{x^2}= \dfrac{1}{(-2)^2}=\dfrac{1}{2^2}=\dfrac14[/tex]
[tex]x^{-1} = \dfrac{1}{x}= \dfrac{1}{-2}=-\dfrac12[/tex]
[tex]x^0=1\implies (-2)^0=1[/tex]
[tex]x^1=x =-2[/tex]
[tex]x^2=(-2)^2=2^2=4[/tex]
