SOLUTION: help me please i dont understand how to do this: {{{5^(3*n+6) = 5^(2*n)*5^(4*n-6)}}}

Algebra ->  Algebra  -> Exponents -> SOLUTION: help me please i dont understand how to do this: {{{5^(3*n+6) = 5^(2*n)*5^(4*n-6)}}}      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 93273: help me please i dont understand how to do this: 5%5E%283%2An%2B6%29+=+5%5E%282%2An%29%2A5%5E%284%2An-6%29
Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) About Me  (Show Source):
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
5^(3*n+6) = 5^(2*n)*5^(4*n-6)
--------
5^(3*n+6) = 5^(2*n+4*n-6)
3n+6 = 6n-6
3n = 12
n = 4
--------------
Cheers,
Stan H.