Question

guys help exam pls tell ans a cute humble request
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Answer 1

Answer:

value of x = 11

Step-by-step explanation:

The given expression is;

                  $(\frac{-2}{3})^{-13} * (\frac{3}{-2})^{8} = (\frac{-2}{3})^{-2x+1}$

                   $(\frac{-2}{3})^{-13} * (\frac{-2}{3})^{-8} = (\frac{-2}{3})^{-2x+1}$  {As doing reciprocal of number

                                                                        power changes its sign}

                   $(\frac{-2}{3})^{-13+(-8)} = (\frac{-2}{3})^{-2x+1}$ {using identity $a^{m} *a^{n} = a^{m+n}$ }

   Comparing both sides, we get;

             -13 + (-8) = -2*x + 1

               -21 = -2*x + 1

               2*x = 1 + 21

                2*x = 22   ⇒ x = 22/2 = 11

Therefore, value of x = 11.