Respuesta :

Space

Answer:

[tex]\displaystyle 3^2[/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

  • Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]
  • Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{3^3 \cdot 3^3}{3^4}[/tex]

Step 2: Simplify

  1. [ER] Multiply:                    [tex]\displaystyle \frac{3^{3+3}}{3^4}[/tex]
  2. Add Exponents:               [tex]\displaystyle \frac{3^6}{3^4}[/tex]
  3. [ER] Divide:                      [tex]\displaystyle 3^{6 - 4}[/tex]
  4. Subtract Exponents:       [tex]\displaystyle 3^2[/tex]

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