algebra precalculus - Does (x^y)^a+b = x^(y*(a+b)) or x^((y*a)+b)?

I posses two Math books, both of which define a certain property of the algebraic manipulation of exponents in different ways.

For example:

Book one would claim that:

2^((3)2+3) = 2(3*5) = 2^15, since 2+3 = 5, and 3*5 = 15.

Book two would claim that:

2^((3)2+3) = 2^(6+3) = 2^9, as (3)2+3 = 9 due to the laws of Bodmas.

I asked my teacher about this, and she said that the method used by book one is correct, however, am very hesitant, as I still do not understand why the laws of Bodmas would not be abided by when algebraically manipulating exponents.

Thanks for any help in advance :)