`(a^m)^4` = _____________

Number of integral vaules (s) of for which the equation sinx-sqrt(3)cosx=(4m-6)/(4-m) has solutions. x in [0,2pi] , is_______________

(m - n) (m + 4) = ___

Calculate the weights of solutes required to prepre one litre each of (a) 0.45 M KMnO_4 solution and (b) 0.25 M CuSO_4 solution.

Simplify and write in the form of a^(m-n) or 1/ a^(n-m) : 3^4/3^14 .

sum_(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=

m^2(m-2)+2m^2(m+3)-6m (m-4) =_

The degree of a monomial (-15) /19l^3m^4n is

If (m_(i),1/(m_(i))),m_(i)gt0,i=1,2,3,4 are four distinct points on a circle, show that m_(1)m_(2)m_(3)m_(4)=1 .