When multiplying a number with an exponent attached do you add or multiply the exponent? Example: Does $1p^2(1p^3)$ equal $1p^6$ or $1p^5$?

$p^2=p\cdot p$ and $p^3=p\cdot p\cdot p$ so $$p^2\cdot p^3=(p\cdot p)\cdot(p\cdot p\cdot p) = p\cdot p\cdot p\cdot p\cdot p = p^5$$
Basically, this is the associative law.
