Respuesta :

Space

Answer:

[tex]\displaystyle 8^\bigg{\frac{8}{3}}[/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 [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \bigg(8^\bigg{\frac{2}{3}} \bigg)^4[/tex]

Step 2: Simplify

  1. Exponential Rule [Powering]:                                                                           [tex]\displaystyle 8^\bigg{\frac{2}{3} \cdot 4}[/tex]
  2. Multiply:                                                                                                             [tex]\displaystyle 8^\bigg{\frac{8}{3}}[/tex]
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