Question

if x=(3/2)² .(2/3)-⁴ find the value of x​

Answer 1

Answer:

please check this attachment

Answer 2

Answer:

$x = {( \frac{3}{2} )}^{2} \times {( \frac{2}{3} )}^{ - 4} \\ \\ x = {( \frac{3}{2} )}^{2} \times { (\frac{3}{2} )}^{4} \\ \\ = > x = { (\frac{3}{2} )}^{6}$

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${x}^{ - 2} = { (\frac{1}{x} )}^{2} \\ = {( \frac{1}{ { (\frac{3}{2} )}^{6} } })^{2} \\ \\ = { \frac{1}{ ({ \frac{3}{2} })^{12} } } = { \frac{3}{2} }^{ - 12}$