((1^(m+1)times sqrt(2*2^(m)))/(2*sqrt(2^(-m))))^((1)/(m))

Simplify : ((4^(m+(1)/(4))xxsqrt(2.2^m))/(2.sqrt(2^(-m))))^((1)/(m)) .

Simplify: (((4)^(M+(1)/(4))xx sqrt(2xx2^(m)))/(2sqrt(2^(-M))))^((1)/(M))*(-1)^(64)

What is the simplified value of [(4^(m+1/4) xx sqrt(2 xx 2^(m)))/(2sqrt(2^(-m)))]^(1/m) ?

{(25^(m+1/4).sqrt(5.5^(m)))/(5.sqrt(5^(-m)))}^(1/m)

Find the value of int((x^m-1)dx)/(x^(m+1)sqrt(1-2x^m+mx^(2m))) (A) sqrt(m+2/x^m+1/x^(2m)+c) (B) sqrt(m-2/x^m+1/x^(2m)+c) (C) sqrt(m-2/x^m-1/x^(2m)+c) (D) sqrt(m+2/x^m-1/x^(2m)+c)

find the value of m,(sqrt(m+1)+sqrt(m-1))/(sqrt(m+1)-sqrt(m-1))=2m-(1)/(2)

If int([sin x]^(2))/(1+[sin x]^(2))*dx=x-k tan^(-1)(M tan x) then: a.M=(1)/(sqrt(2)) b.k=(1)/(sqrt(2))cM=-(1)/(sqrt(2))d.k=-(1)/(sqrt(2))

sqrt(m^(2)n^(2))times root(6)(m^(2)n^(2))times root(3)(m^(2)n^(2))

Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively. Column I, Column 2, Column 3 I, x^2+y^2=a , (i), m y=m^2x+a , (P), (a/(m^2),(2a)/m) II, x^2+a^2y^2=a , (ii), y=m x+asqrt(m^2+1) , (Q), ((-m a)/(sqrt(m^2+1)), a/(sqrt(m^2+1))) III, y^2=4a x , (iii), y=m x+sqrt(a^2m^2-1) , (R), ((-a^2m)/(sqrt(a^2m^2+1)),1/(sqrt(a^2m^2+1))) IV, x^2-a^2y^2=a^2 , (iv), y=m x+sqrt(a^2m^2+1) , (S), ((-a^2m)/(sqrt(a^2m^2+1)),(-1)/(sqrt(a^2m^2+1))) The tangent to a suitable conic (Column 1) at (sqrt(3),1/2) is found to be sqrt(3)x+2y=4, then which of the following options is the only CORRECT combination? (IV) (iii) (S) (b) (II) (iii) (R) (II) (iv) (R) (d) (IV) (iv) (S)