Question

Which of the following expressions are equivalent? Justify your reasoning.. . a.4√x3. . 1. x−1. . b.10√x5•x4•x2. . c.x. 1. 3. •x. 1. d.3. •x. 1. 3.

Answer 1

A ) $\sqrt[4]{ x^{3} } = x^{3/4}$
B ) $\frac{1}{ x^{-1} } = x$
C ) $\sqrt[10]{ x^{5} * x^{4}* x^{2} } = \sqrt[10]{ x^{11} }= x^{11/10}$
D ) $x^{1/3} * x^{1/3} * x^{1/3} = x$
Therefore: B = D