SOLUTION: Multiply and simplify. Write your answers in radical notation. (sqrt(27x^3(y-2))(cube root of (81x(y-2)^5)

Algebra ->  Radicals -> SOLUTION: Multiply and simplify. Write your answers in radical notation. (sqrt(27x^3(y-2))(cube root of (81x(y-2)^5)      Log On


   

Question 1093262: Multiply and simplify. Write your answers in radical notation.
(sqrt(27x^3(y-2))(cube root of (81x(y-2)^5)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(27x^3(y-2)*(cube root of (81x(y-2)^5)
= sqrt%2827x%5E3%28y-2%29%29%2Aroot%283%2C81x%28y-2%29%5E5%29
= 9x%2Asqrt%283x%28y-2%29%29%2A3%28y-2%29%2Aroot%283%2C3x%28y-2%29%5E2%29
= 27x%2A%28y-2%29sqrt%283x%28y-2%29%29%2Aroot%283%2C3x%28y-2%29%5E2%29
===========================
Is that sufficient?
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= 27x%28y-2%29root%286%2C27x%5E3%28y-2%29%5E3%29%2Aroot%286%2C9x%5E2%28y-2%29%5E4%29
= 27x%28y-2%29root%286%2C27x%5E3%28y-2%29%5E3%2A9x%5E2%28y-2%29%5E4%29%29
= 27x%28y-2%29root%286%2C243x%5E5%28y-2%29%5E7%29%29
= 27x%28y-2%29%5E2%2Aroot%286%2C243x%5E5%28y-2%29%29%29
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If you don't learn how to do that, life is gonna get hard for you.