Question

The value of 64^-1/3 (64^1/3-64^2/3), is

पर्याय

• 1

• \[\frac{1}{3}\]

• -3

• -2

Answer 1

Find the value of `64^(-1/3)(64^(1/3) - 64^(2/3)) `

So,

 `64^(-1/3)(64^(1/3) - 64^(2/3))  =  2^(6 xx (-1)/3) (  2^(6 xx (1)/3) -   2^(6 xx (2)/3) )`

`= 2^-2(2^2- 2^4)`

`= 2^-2(4-16)`

`64^(1/3) (64^(1/3) - 64^(2/3)) =  1/2^2 xx -12`

                            ` = 1 /4 xx -12`

                           `= -3`