Question

Find x if

(3/2)^2 × (2/3)^-4 = x​

Answer 1

Answer:

X = $\frac{729}{64}$ Or 11.390625

Step-by-step explanation:

X = $(\frac{3}{2})^{2}$ x $(\frac{2}{3})^{-4}$

  = $(\frac{3}{2})^{2}$ x $(\frac{3}{2})^{4}$

  = $(\frac{3}{2})^{2+4}$

  = $(\frac{3}{2})^{6}$

  = $(\frac{3}{2})^{2}$

  = $\frac{729}{64}$

  = 11.390625

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Answer 2

Answer:

$( \frac{3 }{2})^{2} \times ( \frac{2}{3})^{ - 4} = x \\ ( \frac{3}{2})^{2} \times ( \frac{3}{2} )^{4} = x \: \: (reciprcal \: of \: (\frac{3}{2})^{ - 4} \: to \: make \\ its \: power \: positive) \\ (\frac{3}{2} )^{2 + 4} = x \\ (\frac{3}{2} )^{6} = x \\ \frac{729}{64} = x \\ \\ hope \: it \: helps \: you...$