Answer:
Final answer is [tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x[/tex].
Step-by-step explanation:
Given problem is [tex]\sqrt[3]{x}\cdot\sqrt[3]{x^2}[/tex].
Now we need to simplify this problem.
[tex]\sqrt[3]{x}\cdot\sqrt[3]{x^2}[/tex]
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}[/tex]
Apply formula
[tex]\sqrt[n]{x^p}\cdot\sqrt[n]{x^q}=\sqrt[n]{x^{p+q}}[/tex]
so we get:
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{1+2}}[/tex]
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{3}}[/tex]
[tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x[/tex]
Hence final answer is [tex]\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x[/tex].
