Evaluate
`(root(3)3^root(3)3)^root(3)(3^2)`

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

Evaluate: (i) root(3)(4^3×6^3) (ii) root(3)( 8×17×17×17) (iii) root(3)(700×2×49×5) (iv) 125root(3)(a^3) - root(3)(125a^6)

Evaluate int(sqrt(1+root(3)(x)))/(root(3)(x^(2)))dx .

log_(3)root(9)(3)=

The value of root(3)(5+2sqrt(13)) + root(3)(5-2sqrt(13)) is= ……………..

int\ (root(3)x)(root(5)(1+root(3)(x^4)))dx

Write the value of root(3)(125)\ xx\ root(3)(27)

If root(3)(b^(5))*root(4)(b^(3))=root(3)(b^(x)) for all b ge0 , what is the value of x?

Find the value of log_(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3))) .

Find the number of rational terms and also find the sum of rational terms in (sqrt(2) + root(3)(3) + root(6)(5) )^(10)