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:

f(x)=9^x (Original problem)
x= -2 . ( Exponent (x) equals to -2)
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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