3 to the power of y add 3 to the power of y add 3 to the power of y= 3 to the power of y+1. Why? (Sorry I couldn’t put the indices and had to write in words my keyboard didn’t let me)
It would help if you would proofread your work before you post it.
3 to the power of y = 3^y
Cannot make sense of your post.
assuming no useless repetitions, we apparently have
3^(y+3)^(y+3)^y = 3^(y+1)
now, since exponents associate right-to-left, that's a monster. However, if your words allow us to use left-to-right association, then
((3^(y+3))^(y+3))^y = 3^(y+1)
(3^(y+3))^(y^2+3y) = 3^(y+1)
3^(y^3+6y^2+9y) = 3^(y+1)
y^3+6y^2+9y = y+1
y^3+6y^2+8y-1 = 0
That has no rational roots. So maybe you cab rewrite your problem, keeping in mind the rules of exponents.