Respuesta :

Answer:

(a)

Step-by-step explanation:

using the rule of exponents

• [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex], hence

[tex]9^{-2}[/tex] = [tex]\frac{1}{9^{2} }[/tex] = [tex]\frac{1}{81}[/tex] → (a)


MangoWolf32

Answer:

A. 1/81

Step-by-step explanation:

  1. f(x)=9^x    (Original problem)
  2. x= -2 .      ( Exponent (x) equals to -2)
  3. 9^-2         (Plug -2 into x)

Since the exponent is negative, the final answer is a reciprocal and the exponent becomes positive.

4. 1/(9^2)            ( Reciprocal of 9^-2)

= 1/81                  ( Simplify 1/9^2 = 1/9^2)