Question

Which of the following expressions are equivalent? Justify your reasoning.

Answer 1

A. $4\sqrt{x^{3}$
    $4\sqrt{x^{2} * x}$
    $4\sqrt{x^{2}}\sqrt{x}$
    $4x\sqrt{x}$

b. $\frac{1}{x^{-1}} =x$

c. $10\sqrt{x^{5} * x^{4} * x^{2}}$
    $10\sqrt{x^{11}$
    $10\sqrt{x^{10}* x}$
    $10\sqrt{x^{10}}\sqrt{x}$
    $10x^{5}\sqrt{x}$

d. $x^{\frac{1}{3}} * x^{\frac{1}{3}} * x^{\frac{1}{3}}$
    $x$

The expressions that are equivalent are B and D.