In order to find which expression is equivalent to [tex]\sqrt[4]{x^{10}},[/tex] simplify all given expressions:
0.
[tex]\sqrt[4]{x^{10}}=x^{\frac{10}{4}}=x^{\frac{5}{2}}=x^{2.5}.[/tex]
1.
[tex]x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.[/tex]
2.
[tex]x^{2.2}.[/tex]
3.
[tex]x^3(\sqrt[4]{x} )=x^3\cdot x^{\frac{1}{4}}=x^3\cdot x^{0.25}=x^{3.25}.[/tex]
4.
[tex]x^5.[/tex]
Therefore,
Answer: correct choice is A
