Question

20. (01.03 MC)
What is the simplified expression
? (1 point)

Answer 1

`\displaystyle 3^2`

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

• Exponential Rule [Multiplying]:
  `\displaystyle b^m \cdot b^n = b^(m + n)`
• Exponential Rule [Dividing]:
  `\displaystyle (b^m)/(b^n) = b^(m - n)`

Explanation:

Step 1: Define

`\displaystyle (3^3 \cdot 3^3)/(3^4)`

Step 2: Simplify

1. [ER] Multiply:
   `\displaystyle (3^(3+3))/(3^4)`
2. Add Exponents:
   `\displaystyle (3^6)/(3^4)`
3. [ER] Divide:
   `\displaystyle 3^(6 - 4)`
4. Subtract Exponents:
   `\displaystyle 3^2`