SOLUTION: I have no idea how to simplfy this: [5^(n) - 5^(n+1)]/[5^(n+1)+ 5^(n)] It says to use the hint of facorising the numerator and the denominator. I am confident with indice law

Algebra ->  Exponents -> SOLUTION: I have no idea how to simplfy this: [5^(n) - 5^(n+1)]/[5^(n+1)+ 5^(n)] It says to use the hint of facorising the numerator and the denominator. I am confident with indice law      Log On


   



Question 596500: I have no idea how to simplfy this:
[5^(n) - 5^(n+1)]/[5^(n+1)+ 5^(n)]
It says to use the hint of facorising the numerator and the denominator. I am confident with indice laws and factorising, but have never factorised exponents before (if this is what you are meant to do)?
Any assistance would be greatly appreciated. The answer for the question is -2/3



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplfy this:
[5^(n) - 5^(n+1)]/[5^(n+1)+ 5^(n)]
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= [5^n(1-5)] / [5^n(5+1)]
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= 4/6
= 2/3
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Cheers,
Stan H.