Answer:
[tex]x^{\frac{3}{7}}[/tex]
Step-by-step explanation:
What is the simplified form of
[tex](\sqrt[7]{x})(\sqrt[7]{x})(\sqrt[7]{x})[/tex]
Applying property of exponents
Remember that
[tex]\sqrt[n]{x^{m}} =x^{\frac{m}{n}}[/tex]
[tex]x^{m}x^{n}=x^{m+n}[/tex]
so
[tex](\sqrt[7]{x})(\sqrt[7]{x})(\sqrt[7]{x})=(x^{\frac{1}{7}})(x^{\frac{1}{7}})(x^{\frac{1}{7}})=x^{(\frac{1}{7}+\frac{1}{7}+\frac{1}{7})}=x^{\frac{3}{7}}[/tex]
