Seudónimo Seudónimo
  • 09-03-2022
  • Mathematics
contestada

Simplify (8^2/3)^4.


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Respuesta :

GautamSaharan
GautamSaharan GautamSaharan
  • 09-03-2022

Answer:

256

Step-by-step explanation:

(a^n)^m = a^nm

=(8^⅔)⁴ =8^⅔×⁴

=2³×⅔×⁴ (8 = 2³)

=2^8 =256

Please mark my answer the brainliest

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devishri1977
devishri1977 devishri1977
  • 09-03-2022

Answer:

Step-by-step explanation:

8 = 2*2*2 = 2³

[tex]\left[8^\left(\dfrac{2}{3}\right) \right]^{{4}}=\left[2^{3}^\left(\dfrac{2}{3}\right) \right]^{{4}}\\\\\\=2^{3*\dfrac{2}{3}*4}\\\\\\=2^{2*4}\\\\\\=2^{8}[/tex]

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