erickanavarro erickanavarro
  • 02-06-2021
  • Mathematics
contestada

Which expression is equivalent to (x^1/2y^-1/4z)^-2

Respuesta :

clarch19
clarch19 clarch19
  • 03-06-2021

Answer:

[tex]\sqrt{y}[/tex] ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · [tex]\sqrt{y}[/tex] · 1/z²

=  [tex]\sqrt{y}[/tex] / xz²

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