SOLUTION: simplify (3^(n-1))*(3^(1-n)) as much as possible.

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Question 420847: simplify (3^(n-1))*(3^(1-n)) as much as possible.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The rule for exponents that applies in this expression is:
a%5Ep%2Aa%5Eq+=+a%5E%28p%2Bq%29
In words: Add the exponents. The rule does not change because the exponents are "different" in some way. Whether the exponents are whole numbers, variables, fractions, negative, square roots, etc., when you are multiplying two expressions with the same bases, you add the exponents. So
%283%5E%28n-1%29%29%2A%283%5E%281-n%29%29
becomes:
3%5E%28%28n-1%29%2B%281-n%29%29
Adding the exponents we get:
3%5E0
And any number (except zero) raised to the zero power is...
1
Your expression simplifies to a 1.