Question

$\huge\fcolorbox{red}{pink}{Question ⤵ }$
$FIND \: \: X,IF \: ( \frac{3}{2}) {}^{ - 3} \times ( \frac{3}{2}) {}^{5} = (\frac{3}{2} ){}^{2x + 1}$
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$\large\fcolorbox{blue}{yellow}{Only correct answer will be marked as Brainliest }$
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Answer 1

Answer:

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Step-by-step explanation:

Answer 2

$( \frac{3}{2} )^{ - 3} \times (\frac{3}{2}) ^{5} = (\frac{3}{2}) ^{2x + 1} \\ (\frac{2}{3} )^{3} \times (\frac{3}{2} ) {}^{5} = (\frac{3}{2}) {}^{2x + 1} \\ \frac{8}{27} \times \frac{243}{32} = (\frac{3}{2} ) {}^{2x + 1} \\ \frac{9}{4} = ( \frac{3}{2} ) {}^{2x + 1} \\ (\frac{3}{2} ) {}^{2} = (\frac{3}{2} ) {}^{2x + 1} \\ exponents \: \: 2x + 1 = 2 \\ 2x = 2 - 1 \\ x = 1 \div 2 \\ x = \frac{1}{2}$