Math, asked by mithumazumder10, 1 month ago

solve ☝️☝️☝️plz those who can please those sent it ​

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Answered by BrainlyArnab
4

x = 6

Step-by-step explanation:

 {( \frac{12}{13} )}^{4}  \times  (\frac{13}{12}  {)}^{ - 8}  = ( \frac{12}{13}  {)}^{2x}  \\  \\  =  > ( \frac{12}{13}  {)}^{4}  \times  (\frac{12}{13}  {)}^{8}  = ( \frac{12}{13}  {)}^{2x}  \\  \\  =  >  {( \frac{12}{13} })^{4 + 8}  =  {( \frac{12}{ 13} })^{2x}  \\  \\  =  > ( \frac{12}{13}  {)}^{12}  = ( \frac{12}{13}  {)}^{2x}  \\  \\  =  > 12 = 2x \\  \\  =  >  \frac{12}{2}  = x \\  \\  =  > 6 = x \\  \\  =  > x = 6

So,

the value of x = 6.

Rules we used or you will use later,

 {x}^{m}  \times  {x}^{n}  =  {x}^{m + n}  \\  {x}^{m}  \div  {x}^{n}  =  {x}^{m - n}  \\ ( {x}^{m}  {)}^{n}  =  {x}^{m \times n}  \\  (\frac{x}{y}  {)}^{ - m}  =(  \frac{y}{x}  {)}^{m}

hope it helps.

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