SOLUTION: The answer for a problem I'm working on says that 3^t ⋅ 125^t = 375^t. Is this correct? Because according to the problem solver, you can't solve or simplify this type of prob

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Question 919296: The answer for a problem I'm working on says that 3^t ⋅ 125^t = 375^t. Is this correct? Because according to the problem solver, you can't solve or simplify this type of problem any further. Thanks!
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
The rules are:

1. When the BASES are the same, to MULTIPLY, you ADD the EXPONENTS. 

2. When the EXPONENTS are the same, to MULTIPLY, you MULTIPLY BASES. 

So  is true and is just a case of rule 2.

What there are no GENERAL rules for are:

1.  , when V is a variable. 
 
2.  , when a variable V is an exponent in one term and not in another.

Edwin
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