\[\begin{array}{cc} {\text{when n is odd}}&{\sqrt[n]{a^n}=a}\\ {\text{when n is even}}&{\sqrt[n]{a^n}=|a|}\\ \nonumber \end{array}\] \(\sqrt[3]{8x^3}·\sqrt[3]{3x}−\sqrt[3]{−27x^6}·\sqrt[3]{3x}\) \(\sq...\[\begin{array}{cc} {\text{when n is odd}}&{\sqrt[n]{a^n}=a}\\ {\text{when n is even}}&{\sqrt[n]{a^n}=|a|}\\ \nonumber \end{array}\] \(\sqrt[3]{8x^3}·\sqrt[3]{3x}−\sqrt[3]{−27x^6}·\sqrt[3]{3x}\) \(\sqrt[3]{(2x)^3}·\sqrt[3]{3x}−\sqrt[3]{(−3x^2)^3}·\sqrt[3]{3x}\) \(\sqrt[4]{(3y^2)^4}·\sqrt[4]{2y}+\sqrt[4]{(4y)^4}·\sqrt[4]{2y}\) \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\)і\(\frac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\frac{a}{b}}\)
