Answer:First OptionStep-by-step explanation:Given expression is:[tex]\sqrt[4]{x^{10}}[/tex]The radicand's exponent will be made multiple of 4 to make the calculations easySo,[tex]= \sqrt[4]{x^8 * x^2}[/tex]The 4 outside the radical means that the power that will be multiplied with the exponents will be 1/4So,[tex]= x^{(8*\frac{1}{4})} * x^{(2*\frac{1}{4})}\\=x^2 \sqrt[4]{x^2}[/tex]As x^2 couldn't be solved using radical, it will remain inside the radical.So the correct answer is first option..