anonymous one year ago Which of the following expressions are equivalent? Justify your reasoning. 4√x3 1 x−1 10√x5•x4•x2 x 1 3 •x 1 3 •x 1 3

1. DecentNabeel

which expression

2. anonymous

So the options are A. $\sqrt[4]{x^3}$ B. $\frac{ 1 }{ x^-1}$ C.$\sqrt[10]{x^5*x^4*x^2}$ D.$x^{1/3}$ * $x^{1/3}$ * $x^{1/3}$

3. anonymous

@DecentNabeel hey can you help me out?

4. DecentNabeel

ok these are option so what is the expression

5. anonymous

there is none, they're only asking which are equivalent

6. anonymous

so out of all the options, which ones equal the same thing

7. anonymous

hello does anyone want to help

8. rishavraj

option B .....is it $\frac{ 1 }{ x^{-1} }~~~or~~~ \frac{ 1 }{ x - 1 }$

9. rishavraj

see if Option B is $\frac{ 1 }{ x^{-1} }$ then u must be knowing tht $\frac{ 1 }{ x^{-1} } = x^1 = x$ and see option D i.e $x^{\frac{ 1 }{ 3 }} \times x^{\frac{ 1 }{ 3 }} \times x^{\frac{ 1 }{ 3 }} ~~=~~ x^{\frac{ 1 }{ 3 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 3 }} = x^\frac{ 3 }{ 3 } = x$