সমাধান : `(3^3. 3^5)/3^6` 
            
        `= 3^(3 + 5)/3^6`

        `= 3^8/3^6`

        `= 3^ (8 - 6)`

        `= 3^2`

        `= 9`  (Ans.)

সমাধান : `(5^3 . 8)/(2^4 . 125)`

              `= (5^3 . 2^3)/(2^4 . 5^3)`

              `= 5^(3-3). 2^(3-4)`

              `= 5^0 . 2^-1`

              `= 1 . 1/2`

              `= 1/2`   (Ans.)

সমাধান : `(7^3 xx 7^-3)/(3 xx 3^-4)`

             `= 7^(3 - 3)/ 3^(1 - 3)`

             `= 7^0/3^-3`

             `= 1/3^-3`

             `= 1 xx 3^3`

             `= 27`  (Ans.)

সমাধান:  `(root(3)(7^2) . root(3)(7))/sqrt(7)`
            `= ((7^2)^(1/3) . 7^(1/3))/7^(1/2)`

            `= 7^(2/3 + 1/3 - 1/2)`

            `= 7^((4 + 2 - 3)/6)`

            `= 7^(3/6)`

            `= 7^(1/2)`

            `= sqrt (7)`    Ans.

সমাধান `(2^-1 + 5^-1)^-1`

         `= (1/2 + 1/5)^-1`

         `= ((5 + 2)/10)^-1`

         `= (7/10)^-1`

         `= 1/7`

         `= 1 xx 10/7`

         `= 10/7`  Ans.