Factorials/Order of Operations

I do not remember ever having confusion over this.  I think it is normally self explanatory. 

Brackets/parentheses  take precedence over everthing else.

But I would think of 6! as an individual number.  So 5*6!   would mean 5 * the factorial of 6.

$4^{3!}=4^6\\ 4^3!=64!$

If that doesn't help maybe you can give us specific examples that are confusing you.

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The order of operation that I still get confused with is a power of a power

like

$3^{4 ^2}$

Is that 3^16 or is it 81^2

There is a rule but I always forget what it is.

....or factorals are just multiplication    6!  =   6 * 5 * 4 * 3 *2