Respuesta :

agentflane239

Answer:

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

Step-by-step explanation:

Exponent rules state that a number to a negative power is equal to one over that number to the number of the negative power (except the power is now positive).

Following this we end up with

[tex] \frac{1}{ { - 3}^{2} } [/tex]

Since an exponent only affects the number immediately to its left, the negative sign is not counted when we square 3. 3 squared is 9 so the answer is one over negative 9.

gmany

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\\\\-3^{-2}=-\dfrac{1}{3^2}=-\dfrac{1}{9}[/tex]

[tex]\text{If it would be}\ \left(-3)^{-2}\ \text{then the answer would be positive}:\\\\\left(-3\right)^{-2}=\dfrac{1}{(-3)^2}=\dfrac{1}{9}[/tex]

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