0\\\\\sqrt[3]{x^{10}}=\sqrt[3]{(x^3)^3\cdot x}=x^3\cdot \sqrt[3]{x}\\\\3)\; \; \sqrt{\sqrt[3]3}=\sqrt[2\cdot 3]{3}=\sqrt[6]3\\\\\sqrt{x\sqrt[3]{x^2}}=\sqrt{\sqrt[3]{x^3\cdot x^2}}=\sqrt[6]{x^5}" alt="1)\; \; \frac{\sqrt[3]{54}}{\sqrt[3]{2}}=\frac{\sqrt[3]{3^3\cdot 2}}{\sqrt[3]2}=\frac{3\sqrt[3]2}{\sqrt[3]2}=3\; \; \; ,\; \sqrt[6]{8^2}=\sqrt[6]{(2^3)^2}=\sqrt[6]{2^6}=2\\\\2)\; \; \sqrt[3]{16}=\sqrt[3]{2^4}=2\sqrt[3]2\; \; ,\\\\\sqrt[4]{3a^4}=3|a|=3a\; ,\; a>0\\\\\sqrt[3]{x^{10}}=\sqrt[3]{(x^3)^3\cdot x}=x^3\cdot \sqrt[3]{x}\\\\3)\; \; \sqrt{\sqrt[3]3}=\sqrt[2\cdot 3]{3}=\sqrt[6]3\\\\\sqrt{x\sqrt[3]{x^2}}=\sqrt{\sqrt[3]{x^3\cdot x^2}}=\sqrt[6]{x^5}" align="absmiddle" class="latex-formula">