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masya89 [10]
2 years ago
6

What are the values of f(x) = 9^x when x= -2? a) 1/81 b) 81 c) 1/18 d) 18

Mathematics
2 answers:
Novosadov [1.4K]2 years ago
4 0

Answer:

(a)

Step-by-step explanation:

using the rule of exponents

• a^{-m} ⇔ \frac{1}{a^{m} }, hence

9^{-2} = \frac{1}{9^{2} } = \frac{1}{81} → (a)


bazaltina [42]2 years ago
4 0

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)

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