Respuesta :

Space

Answer:

[tex]\displaystyle f(-2) = \frac{1}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

Terms/Coefficients

Functions

  • Function Notation

Exponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = 3^x[/tex]

Step 2: Evaluate

  1. Substitute in x [Function f(x)]:                                                                           [tex]\displaystyle f(-2) = 3^{-2}[/tex]
  2. Rewrite [Exponential Property - Rewrite]:                                                      [tex]\displaystyle f(-2) = \frac{1}{3^2}[/tex]
  3. Exponents:                                                                                                       [tex]\displaystyle f(-2) = \frac{1}{9}[/tex]

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