SOLUTION: I have tried everything on this problem that I know to do. It involves a fraction and positive and negative exponents. Assume all variables represent positive real numbers. Write y

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I have tried everything on this problem that I know to do. It involves a fraction and positive and negative exponents. Assume all variables represent positive real numbers. Write y      Log On


   

Question 129507This question is from textbook Elementary and Intermediate Algebra
: I have tried everything on this problem that I know to do. It involves a fraction and positive and negative exponents. Assume all variables represent positive real numbers. Write your answers with positive exponents.
(x^2 y^-3 z) ^1/2
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x^1/2 y z^-1/2
first I multiiplied everything on the top by the exponent outside the ()
x^2/1*1/2, y^-3*1/2, z^1/2 = x y^-3/2 z^1/2
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x^1/2 y z^-1/2 x^1/2 y z^-1/2 This is where I get stuck
 This question is from textbook Elementary and Intermediate Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
squaring gives __ %28%28x%5E2%29%28y%5E%28-3%29%29z%29%2F%28x%28y%5E2%29%28z%5E-1%29%29

reducing __ xz%5E2%2Fy%5E5

taking squareroot __ %28x%5E.5%29z%2Fy%5E2.5