joaopedro07 joaopedro07

17-03-2021
Mathematics

contestada

Simplifique a expressão [5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]²

Respuesta :

mathstudent55 mathstudent55

17-03-2021

Answer:

5^43

Step-by-step explanation:

[5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]² =

= [5² . 5² . 5³. 5³ . (5³)³ ]³ : [(5²)² . 5² . 5]²

= [5² . 5² . 5³. 5³ . 5^9 ]³ : [5^4 . 5² . 5]²

= [5^19]³ : [5^7]²

= 5^57 : 5^14

= 5^43

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