a. [tex]4\sqrt{x^{3}[/tex]
[tex]4\sqrt{x^{2} * x}[/tex]
[tex]4\sqrt{x^{2}}\sqrt{x}[/tex]
[tex]4x\sqrt{x}[/tex]
b. [tex]\frac{1}{x^{-1}} =x[/tex]
c. [tex]10\sqrt{x^{5} * x^{4} * x^{2}}[/tex]
[tex]10\sqrt{x^{11}[/tex]
[tex]10\sqrt{x^{10}* x}[/tex]
[tex]10\sqrt{x^{10}}\sqrt{x}[/tex]
[tex]10x^{5}\sqrt{x}[/tex]
d. [tex]x^{\frac{1}{3}} * x^{\frac{1}{3}} * x^{\frac{1}{3}}[/tex]
[tex]x[/tex]
The expressions that are equivalent are B and D.