Respuesta :

mhanifa

Answer:

  • 2

Step-by-step explanation:

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

Properties used

  • [tex]a^{-b} = (\frac{1}{a} )^b[/tex]
  • [tex](a^{b} )^c = a^{bc}[/tex]
MisterBrainly
  • a^{-m}=(1/a)^m
  • (a^m)^n=a^mn

So

  • (1/4)^{-1/2}
  • 4^{1/2}
  • √4
  • √2²
  • 2