andrewjosue56 andrewjosue56
  • 09-06-2021
  • Mathematics
contestada

Can somebody explain to me step by step how I resolve (16/81 to the power of 3/4)

Respuesta :

cwrw238 cwrw238
  • 09-06-2021

Answer:

8/27.

Step-by-step explanation:

(16/81)^3/4

= 16^3/4 / 81^3/4

Now

16^3/4 = (16^1/4)^3

= (⁴√16)^3

= 2^3

= 8.

and

81^3/4 = (81^1/4)^3

= (⁴√81)^3

= 3^3

= 27

So the answer is 8/27

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