Question

if (a/b)=(3/2)power2 × (2/3)power -4,
find the value of(a/b)power-2
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Answer 1

Hey...

Here is your answer

Hope it helps

Answer 2

Answer:

$\frac{628849}{104976}$

Step-by-step explanation:

$(\frac{3}{2})^{2} = \frac{9}{4} \\(\frac{2}{3})^{-4} = -\frac{16}{81} \\\frac{a}{b} = \frac{9}{4} -\frac{16}{81}\\\frac{a}{b}^{2} = (\frac{9}{4} -\frac{16}{81})^{2}\\\frac{a}{b}^{2} = (\frac{729+64}{324})^{2} \\\frac{a}{b}^{2} = (\frac{793}{324})^{2} \\\frac{a}{b}^{2} = \frac{628849}{104976}$