angie249
angie249 angie249
  • 18-03-2019
  • Mathematics
contestada

what is the value of 11x^-3y^-1 for x=-1 and y=2

a.-2/11
b.-22
c.-66
d.-11/2​​

Respuesta :

gmany
gmany gmany
  • 18-03-2019

Answer:

[tex]\large\boxed{d.\ -\dfrac{11}{2}}[/tex]

Step-by-step explanation:

[tex]11x^{-3}y^{-1}\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=11\left(\dfrac{1}{x^3}\right)\left(\dfrac{1}{y}\right)=\dfrac{11}{x^3y}\\\\\text{Substitute the values of}\ x\ \text{and}\ y:\\\\x=-1,\ y=2\\\\\dfrac{11}{(-1)^3(2)}=\dfrac{11}{(-1)(2)}=\dfrac{11}{-2}=-\dfrac{11}{2}[/tex]

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