SOLUTION: For positive real numbers x, y, and z,which of the following expressions is equivalent to x^1/2 y^2/3 z^5/6? A. the cubic root of xy^2 z^3 B. the 6th root of xy^2 z^5 C. the 6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: For positive real numbers x, y, and z,which of the following expressions is equivalent to x^1/2 y^2/3 z^5/6? A. the cubic root of xy^2 z^3 B. the 6th root of xy^2 z^5 C. the 6      Log On


   



Question 470457: For positive real numbers x, y, and z,which of the following expressions is equivalent to x^1/2 y^2/3 z^5/6?
A. the cubic root of xy^2 z^3
B. the 6th root of xy^2 z^5
C. the 6th root of x^3 y^2 z^5
D. the 6th root of x^3 y^4 z^5
E. the 11th root of xy^2 z^5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
which of the following expressions is equivalent to [x^1/2][y^2/3][z^5/6]?
= [x^3/6][y^4/6][z^5/6]
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= [x^3*y^4*z^5]^(1/6)
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Answer: D
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Cheers,
Stan H.
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A. the cubic root of xy^2 z^3
B. the 6th root of xy^2 z^5
C. the 6th root of x^3 y^2 z^5
D. the 6th root of x^3 y^4 z^5
E. the 11th root of xy^2 z^5