Question:১০. সরল কর: `(3^(m + 1))/((3^m)^(m - 1)) -: (9^(m + 1))/((3^(m - 1))^(m + 1))` 

Answer সমাধান: `(3^(m + 1))/((3^m)^(m - 1)) -: (9^(m + 1))/((3^(m - 1))^(m + 1))`

          `= (3^(m + 1))/(3^(m^2 - m)) -: ((3^2)^(m + 1))/(3^((m - 1)(m + 1)))`

          `= (3^(m + 1))/(3^(m^2 - m)) -: (3^(2m + 2))/(3^(m^2 - 1)`

          `= 3^(m + 1 - m^2 + m) -: 3^(2m + 2 - m^2 + 1)`

          `= 3^(2m - m^2 + 1) -: 3^(2m - m^2 + 3)`

          `= 3^((2m - m^2 + 1)-(2m - m^2 + 3))`

          `= 3^(2m - m^2 + 1 - 2m + m^2 - 3)`

          `= 3^(-2)`

          `= 1/3^2`

          `= 1/9`  Ans. 

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