SOLUTION: Explain the Law of Exponents that states a to the -n power = 1 divided by a to the n power?

Question 717186: Explain the Law of Exponents that states a to the -n power = 1 divided by a to the n power?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
You probably understand the positive exponents:
, , , , ...

To help us understand negative exponents, let's think about the opposite of the above. Instead of starting with a and repeatedly multiplying by a, think about starting with a high power of a and repeatedly dividing by a:
, , , ...
As we did this the exponents kept going down by 1. Now, let's keep going!
The exponent went down by 1 again!
again, the exponent went down by 1

etc.
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