Question

50 points and brainliest!

Answer 1

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

Answer 2

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