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 )
`(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