Answer:
Fourth root.
Step-by-step explanation:
The given expression is :[tex](x^{\frac{3}{8} })^{\frac{2}{3} }[/tex]
The power rule for exponents states that powers are multiplied
[tex](a^{m})^{n} =a^{mn}[/tex]
Applying the rule we have:
[tex](a^{\frac{3}{8} }) ^{\frac{2}{3} } =a^{\frac{3}{8} .\frac{2}{3} } =a^{\frac{1}{4} }[/tex]
So the x root of the expression will represent the fourth root.
