" evaluate "[(root(3)(8))^(-(1)/(2)))^(4)

Evaluate : [(3sqrt(8))-(1)/(2)]^(4).

Calculate : {root(3)(4)xx(1)/(root(6)(8))xxroot(12)(2^(-1))}^(3/4) .

Show that the square root of 3^((1)/(2))xx9^((1)/(4))xx27^((1)/(8))xx81^((1)/(16))xx... to infinity is 3. [ Note : When we are asked to find the square root of a number, it is presumed that we have to find the principal square root.] Find the sum of the series (1)/(2)+(2)/(4)+(3)/(8)+(4)/(10)+...oo and substitute in (1).]

Find the values of m and n if : 4^(2m)=(root(3)(16))^(-(6)/(n))=(sqrt(8))^(2)

Find x, if : (root(3)((2)/(3)))^(x-1)=(27)/(8)

If positive root of a^((1)/(a))*(2a)^((1)/(2a))*(4a)^((1)/(4a))*(8a)^((1)/(2a))......oo=(8)/(27) then a=

Find the square root of (1+(2)/(x^(4))+(1)/(x^(8))) :

Calculate : (i) log_(2)root(4)(64root(3)(4^(-1)(8)^(-4/3)))

Find the value of log_(2)(2root(3)(9)-2)+log_(2)(12root(3)(3)+4+4root(3)(9))

Evaluate: int root(3)(x)root(3)(1+root(3)(x^(4)))dx