SOLUTION: 3 to the -x power is equal to (1/3) to the x power....how do i prove this mathematically?

Question 133378: 3 to the -x power is equal to (1/3) to the x power....how do i prove this mathematically?
Found 2 solutions by jim_thompson5910, vleith:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Since we have a negative exponent, this means that we flip the base 3 to get

Rewrite as

Factor out the exponent

So this shows us that
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

This is not
To prove
Given

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