Question 62663
Given 3^22, 3^23 and 3^24

We find that the base is same, only the powers are different.

3^22 + 3^23 +  3^24 = 3^ (22 + 23 + 24)

                    = 3^ (69)

THe average is given by the total number divide the number of terms.

Average = 3 ^ 69 / 3 ^ 3

Since there are 3 terms.

Average = 3 ^ (69 / 3)

        = 3 ^ 23

Therefore the average is given by 3 ^ 23