Question

Use the function to find f(-2)

Answer 1

`(1)/(9)`

Explanation:

1. Substitute the -2 into the equation.
   `f(-2)=3^(-2)`
2. Begin to simplify the exponent.
   `x^(-y)=(1)/(x^y)`, so you get
   `f(-2)=(1)/(3^2)`
3. Finish simplifying the exponent. 3 times 3 is 9.
   `f(-2)=(1)/(9)`

Answer 2

f(-2) = 1/9

Explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

f(-2) = 1/(3^2)

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

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