Respuesta :

[tex]\frac{1}{9}[/tex]

Explanation

[tex]a^{-2}b^0[/tex]

let's remember some properties of the exponents numbers

[tex]\begin{gathered} a^{-n}=\frac{1}{a^n} \\ a^0=1\text{ ( any number to the zero exponent equals 1)} \end{gathered}[/tex]

then,

solve by appling the properties

for a= -3 and b=-3

replace.

[tex]\begin{gathered} a^{-2}b^0 \\ (-3^{-2})(-3^0) \\ (\frac{1}{(-3)^2})(1) \\ (\frac{1}{3\cdot3})(1) \\ (\frac{1}{9})(1) \\ \frac{1}{9} \end{gathered}[/tex]

so, the answer is

[tex]\frac{1}{9}[/tex]

I hope this helps you

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