Respuesta :

Space

Answer:

[tex]\displaystyle \frac{x^8}{x^6} = x^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 Property [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{x^8}{x^6}[/tex]

Step 2: Simplify

  1. Exponential Rule [Dividing]:                                                                             [tex]\displaystyle \frac{x^8}{x^6} = x^{8 - 6}[/tex]
  2. [Exponents] Subtract:                                                                                       [tex]\displaystyle \frac{x^8}{x^6} = x^{2}[/tex]