timarion4 timarion4
  • 09-05-2022
  • Mathematics
contestada

What is the value of the expression ? (243^2)^1/10

A.9

B.81

C.3

D.27

Respuesta :

loneguy
loneguy loneguy
  • 09-05-2022

[tex](243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}[/tex]

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