Question

solve (-3/2)power2 ÷ x = (-8/27)power-2​

Answer 1

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ATQ,

$= {( \frac{ - 3}{2} })^{2} \div \frac{1}{x} = { (\frac{ - 8}{27} )}^{2} \\ = {( \frac{3}{2} )}^{2} \times x = {( \frac{ 8}{27} )}^{2} \\ = \frac{9}{4} \times x= \frac{64}{729} \\ = \frac{9x}{4} = \frac{64}{729} \\ = x = \frac{64}{729} \times \frac{9}{4} \\ = x = \frac{16}{81} \\ = x = { (\frac{4}{9} )}^{2}$

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