Question 214769
*[Tex \LARGE \left(27x^{-9}y^6\right)^{\frac{1}{3}}]


*[Tex \LARGE \left(27^{1}x^{-9}y^6\right)^{\frac{1}{3}}]


*[Tex \LARGE 27^{1\cdot\frac{1}{3}}x^{-9\cdot\frac{1}{3}}y^{6\cdot\frac{1}{3}}]


*[Tex \LARGE 27^{\frac{1}{3}}x^{\frac{-9}{3}}y^{\frac{6}{3}}]


*[Tex \LARGE 27^{\frac{1}{3}}x^{-3}y^{2}]


*[Tex \LARGE \frac{\sqrt[3]{27}y^{2}}{x^{3}}]


*[Tex \LARGE \frac{3y^{2}}{x^{3}}]


Ans: *[Tex \LARGE \left(27x^{-9}y^6\right)^{\frac{1}{3}}=\frac{3y^{2}}{x^{3}} , \ \ \ \ x \neq 0]