Math, asked by Ummesumaiyasami, 11 months ago

answer thus question​

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Answered by kartik2507
1

Answer:

x = 0

Step-by-step explanation:

 { (\frac{ - 3}{2}) }^{6}  \times  { (\frac{4}{9} )}^{3}  =  {( \frac{1}{2} )}^{3x}  \\  \frac{  { (- 3)}^{6} }{ {2}^{6} }  \times  \frac{ ({ {2}^{2} )}^{3} }{ { ({3}^{2}) }^{3} }  =  \frac{1}{ {2}^{3x} }  \\  \frac{729}{64}  \times  \frac{64}{729}  =  \frac{1}{ {2}^{3x} }  \\ 1 =  \frac{1}{ {2}^{3x} }  \\  {2}^{3x}  = 1 \:  \:  \:  \:  \: ( {2}^{0}  = 1) \\  {2}^{3x}  =  {2}^{0}  \\ base \: are \: equal \: hence \: power \: to \: be \: equal \\ 3x = 0 \\ x =  \frac{0}{3}  \\ x = 0

hope you get your answer

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