Explain how you can arrive at the negative power rule a-n equals 1/an (a ≠0). Explain all the steps

Explain how you can arrive at the negative power rule a-n equals 1/an (a ≠0). Explain all the steps you take.

Well, (an)^-1 is 1/an
a-n has nothing to do with it really. The negative power rule simply states that for all negative powers, simply put 1 over the number to the nth power.

For example, 2^-3 is the same as 1/(2^3) which is 1/(2*2*2) which is 1/8

So now that I look at it closely, I believe you forgot to add the carat (^ <--- That is called a carat) and it's used by typing x^n, where x and n are any values. That translates to, "x to the power of n". So I do believe you meant to say:
Explain how you can arrive at the negative power rule a^-n = 1/(a^n) (a≠0). Explain all the steps you take.

Well, that right there IS the negative power rule, and there are several different ways to arrive at it. The simplest method is to simply input values for a and n, and then just calculate it out like I did above.