Math, asked by warriorgaming2821, 7 days ago

Answer it correctly ​

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Answered by lalith2004ky
1

Answer:

 {( \frac{ - 2}{5} )}^{ - 3}  \times x =  {( \frac{25}{32})   }^{ - 2}  \\  {( \frac{ - 5}{2} )}^{  3}  \times x =  {( \frac{32}{25})   }^{ 2}  \\  {( \frac{ - 5}{2} )}^{  3}  \times x =  {( \frac{ {2}^{5} }{ {5}^{2} })   }^{  2}  \\  \frac{   { - 1}^{3}  \times  {5}^{3}  }{ {2}^{3} }  \times x =  \frac{ {2}^{5 \times 2} }{ {5}^{2 \times 2} }  \\  \frac{ - 1 \times  {5}^{3} }{ {2}^{3} }  \times x =  \frac{ {2}^{10} }{ {5}^{4} }  \\ x =  \frac{ {2}^{10}  \times  {2}^{3} }{ - 1 \times  {5}^{4} \times  {5}^{3}  }  \\  =  \frac{ - 1 \times  {2}^{10 + 3} }{ {5}^{4 + 3} } \\   =  \frac{ { - 1}^{13} \times  {2}^{13}  }{ {5}^{7} }  \\  =  \frac{ {( - 1 \times 2)}^{13} }{ {5}^{7} }  \\  =  \frac{  { - 2}^{13} }{ {5}^{7} }

Here's the correct answer to the question.

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