Answer:
The simplified form is [tex]x^{\frac{2}{3} }[/tex]
Step-by-step explanation:
So before solving this question we need to know that.....
[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]
(proof)
[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]
[tex](\sqrt[6]{x}) ^{6}[/tex] = [tex](x^{\frac{1}{6} })^{6}[/tex]
x = x
So now we can rewrite the question as.........
[tex](\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }[/tex]
