Answer: [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
When any number has a negative exponent, all the negative exponent is doing is flipping the sides.
When we plug -3 in for x we get [tex]-3^{-2}[/tex].
Now just imagine the -3 in fraction form as [tex]\frac{-3}{1}[/tex]. And all you do now is just flip the sides to get [tex](\frac{1}{-3} )^{2}[/tex]
And now apply the exponent 2 to the 1 and negative 3.
1 to the power of 2 is just 1
-3 to the power of 2 is 9.
So your answer is [tex]\frac{1}{9}[/tex]