SOLUTION: Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single power.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single power.      Log On


   

Question 128432: Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single power.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write (81^(x+1)((1/9)^(4-x) / 27(243^(x-2) as a single power.
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(3^4(x+1)) * (3^-2(4-x)) / (3^3*(3^5(x-2)
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[3^(4x+4)][3^(-8+2x)]/[3^3(3^(5x-10)]
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= 3^(6x-4)/[3^(5x-7)]
= 3^(x+3)
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Cheers,
Stan H.