SOLUTION: Simplify: Assume that b and c are positive. (8b^2/3 / 2b^4/5)^3/2 Please show me step by step to get the answer. Thanks

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Simplify: Assume that b and c are positive. (8b^2/3 / 2b^4/5)^3/2 Please show me step by step to get the answer. Thanks      Log On


   

Question 475625: Simplify: Assume that b and c are positive.
(8b^2/3 / 2b^4/5)^3/2
Please show me step by step to get the answer. Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[8b^(2/3) / 2b^(4/5)]^3/2
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[4b^[(2/3)-(4/5)]]^(3/2)
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= [4b^[(10-12)/20]]^(3/2)
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= [4b^[-1/10]]^(3/2)
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= [8*b^(-3/20)]
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= [8/b^(3/20)]
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cheers,
Stan H.
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