Rewrite the radicals using the equivalence of radicals and rational exponents.
Then check which of the expressions are equivalent.
[tex](A)\sqrt[4]{x^3}=x^{\frac{3}{4}}[/tex][tex](B)\frac{1}{x^{-1}}=x^1=x[/tex][tex](C)\sqrt[10]{x^5\cdot x^4\cdot x^2}=\sqrt[10]{x^{5+4+2}}=\sqrt[10]{x^{11}}=x^{\frac{11}{10}}[/tex][tex](D)x^{\frac{1}{3}}\cdot x^{\frac{1}{3}}\cdot x^{\frac{1}{3}}=x^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=x^{\frac{3}{3}}=x^1=x[/tex]
Hence, the expressions in options B and D are equivalent.
