Question

How does the division rule for exponents help in understanding why anything to the zero power is 1?

Answer 1

Well it's a rule that any number raised to the power of 0 will always equal 1. 
And think about it, if we use 8^1/8^1 we get 1, 1-1=0 8^0 = 1 
Use any number and you get the same result, that was the division rule for exponents (subtraction) 

Answer 2

Well it's a rule that any number raised to the power of 0 will always equal 1.
And think about it, if we use 8^1/8^1 we get 1, 1-1=0 8^0 = 1
Use any number and you get the same result, that was the division rule for exponents (subtraction)
Hopefully that helped