What is the simplified form of the fifth root of x to the fourth power times the fifth root of x to the fourth power?

[tex]\bf \sqrt[5]{x^4}\cdot \sqrt[5]{x^4}\implies \sqrt[5]{x^4\cdot x^4}\implies \sqrt[5]{x^{4+4}}\implies \sqrt[5]{x^8}\implies \sqrt[5]{x^{5+3}} \\\\\\ \sqrt[5]{x^5\cdot x^3}\implies x\sqrt[5]{x^3}[/tex]