Given a number, a strange calculator can only do the following: multiply it by 2 or by 3, or to

Question

raise it to the power 2 or 3. Starting with the number 15, what can be obtained by applying
this calculator 5 times consecutively?
A) 2^8 . 3^5 . 5^6
B) 2^8 . 3^4 . 5^2
C) 2^3 . 3^3 . 5^3
D) 2^6 . 3^6 . 5^4
E) 2 . 3^2 . 5^6