If "a" is a non-zero integer then:

Recall the Quotient of Powers (Common Base) Property shown below:

Choose a value for "a" such as a = 2, and begin with an equation involving exponents such as 2⁵ = 32.

Divide each side repeatedly by two and notice the pattern occurring on each sides.

The pattern on the left results in 2⁰. The patern on the right results in 1.

Conclusion: 2⁰ = 1.

Try repeating this pattern with differt bases (different values substituted for "a"). Use any value other than zero.