Simplify: {x^(2/3) {x^(-1/3) y^(-1/2) (x^2 y^(-2) )^(-2/3) }^(1/2) }^6

asked by guest
on Sep 23, 2024 at 1:27 am



You asked:

Simplify the expression: \({\left( {x}^{\frac{2}{3}} \cdot {\left( {x}^{\frac{-1}{3}} \cdot {y}^{\frac{-1}{2}} \cdot {\left( {x}^{2} \cdot {y}^{-2} \right)}^{\frac{-2}{3}} \right)}^{\frac{1}{2}} \right)}^{6}\)

MathBot Answer:

Simplified:

\[ {\left( {x}^{\frac{2}{3}} \cdot {\left( {x}^{\frac{-1}{3}} \cdot {y}^{\frac{-1}{2}} \cdot {\left( {x}^{2} \cdot {y}^{-2} \right)}^{\frac{-2}{3}} \right)}^{\frac{1}{2}} \right)}^{6} = \frac{y^{\frac{5}{2}}}{x} \]


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