Question

Question #f5934

Answer 1

I've provide a list of 7 "laws" that I think you should be aware of.
However, as noted, you could derive more variations of these and some of them could be derived from others.

Explanation:

Here are the one's that I would consider essential:

• `a^0=1` provided `a!=0`
• `a^1=a`
• `a^(p+q)=a^p * a^q`
• `a^(p * q) = (a^p)^q=(a^q)^p`
• `a^(-b)=1/(a^b)`
• `a^(1/b)=root(b)(a)`

plus, more as a definition

• `a^b=c hArr log_a c = b`

A few of these are derivable from others and you could extend this
by deriving different forms.