lilkno0426
lilkno0426 lilkno0426
  • 17-09-2020
  • Mathematics
contestada

Which expression is equivalent to (8^2)^-4

Which expression is equivalent to 824 class=

Respuesta :

cityuser
cityuser cityuser
  • 17-09-2020

Answer:

C: [tex]\frac{1}{8*8*8*8*8*8*8*8}[/tex]

Step-by-step explanation:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

Since a = [tex]8^2[/tex] :

[tex](8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}[/tex]

Since n = 4 :

[tex](8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}[/tex]

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