Question

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

Answer 1

which expression

Answer 2

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

Answer 3

@DecentNabeel hey can you help me out?

Answer 4

ok these are option so what is the expression

Answer 5

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

Answer 6

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

Answer 7

hello does anyone want to help

Answer 8

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

Answer 9

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
\[x^{\frac{ 1 }{ 3 }} \times x^{\frac{ 1 }{ 3 }} \times x^{\frac{ 1 }{ 3 }} ~~=~~ x^{\frac{ 1 }{ 3 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 3 }} = x^\frac{ 3 }{ 3 } = x\]