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blsea [12.9K]
2 years ago
8

50 points and brainliest!

Mathematics
2 answers:
Rzqust [24]2 years ago
6 0

Answer:

  • 1/9

Step-by-step explanation:

a - b = 2

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

lora16 [44]2 years ago
3 0

Answer:

Step-by-step explanation:

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

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

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

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

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

9 is the answer

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