Question

Find f(-6)
f(x) = 2^x

Answer 1

f(-6) = 1/64

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

• Functions
• Function Notation
• Exponential Rule [Rewrite]:
  `\displaystyle b^(-m) = (1)/(b^m)`

Explanation:

Step 1: Define

f(x) = 2ˣ

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

1. Substitute in x [Function]: f(-6) = 2⁻⁶
2. Exponential Rule - Rewrite: f(-6) = 1/2⁶
3. Exponents: f(-6) = 1/64