which of the following is equal to x ?

Options

A. `x^(12/7)-x^(5/7)`
B. `root12((x^(4))^(1/3)`
C. `((x)^(3))^(1/3)`
D. `x^(12/7)xxx^(7/12)`

Answer

C

Explanation

`(a)x^(12/7)-x^(5/7)=x^(5/7+1)-x^(5/7)`
`=x^(5/7).x-x^(5/7)`
(b) `root(12)((x^(4))^(1/3))=((x^(4))^(1/3))^(1/12)`
`=x^(4xx1/3xx1/12)=x^(1/9)`
`nex`
`(c) (sqrt(x^(3)))^(2/3)=(x^(2/3))^(2/3)=x^(3/2xx2/3)`
x
(d) `x^(12/7)xxx^(7/12)=x^(12/7+7/12)`
`x^((144+49)/(84))=x^(193/84)nex " "[a^(m).a^(n)=a^(m+n)]`