contestada

50 points and brainliest!
a and b are positive integers and a-b=2. Evaluate the following: 27^1/3^b/9^1/2^a
(a picture will be provided as well)

50 points and brainliest a and b are positive integers and ab2 Evaluate the following 2713b912a a picture will be provided as well class=

Respuesta :

Answer:

Step-by-step explanation:

[tex]\frac{27^{1/3b}}{9^{1/2a}}[/tex]

We know that 27^(2/3) = 9. So:

= [tex]\frac{27^{1/3b}}{27^{1/3a}}[/tex]

note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)

[tex]= 27^{1/3b-1/3a}=27^{1/3(b-a)} = 27^{1/3(2))} = 9[/tex]

9 is the answer

mhanifa

Answer:

  • 1/9

Step-by-step explanation:

a - b = 2

  • [tex]27^{1/3b} / 9^{1/2a}[/tex] =
  • [tex](3^3)^{1/3b} / (3^2)^{1/2a}[/tex] =
  • [tex]3^{b} / 3^a[/tex] =
  • [tex]3^{b - a}[/tex] =
  • [tex]3^{-2}[/tex] =
  • 1/9