(2^((2)/(3))-2^(-(2)/(3)))(2^((4)/(3))+1+2^(-(4)/(3)))

Simplify ((3(2)/(3))^(2)-(2 (1)/(2)))/((4(3)/(4))^(2)-(3(1)/(3))^(2))+(3(2)/(3)-2(1)/(2))/(4(3)/(4)-3(1)/(3))

((3(2)/(3))^(2)-(2(1)/(2))^(2))/((4(3)/(4))^(2)-(3(1)/(3))^(2))-:(3(2)/(3)-2(1)/(2))/(4(3)/(4)-3(1)/(3))=?(37)/(97) (b) (74)/(97)( c) 1(23)/(74) (d) None of these

(((1)/(2))*((2)/(2)))/(1^(3))+(((2)/(2))*((3)/(2)))/(1^(3)+2^(3))+(((3)/(2))*((4)/(2)))/(1^(3)+2^(3)+3^(3))+...=

If ((3(1)/(4) )^(4) -(4( 1)/(3))^(4))/( (3,(1)/(4) )^(2) -(4,(1)/(3))^(2) )= ((13a)/(12))^(2) , find a.

-1+(2^(2))/(2!)-(2^(3))/(3!)+(2^(4))/(4!)-....=

If a=3^((1)/(4))+3^(-(1)/(4)) and b=3^((1)/(4))-3^(-(1)/(4)) then the value of 3(a^(2)+b^(2))^(2)

((1)/(2) . (2)/(2))/(1^(3))+((2)/(3) . (3)/(2))/(1^(3)+2^(3)) +((3)/(2) . (4)/(2))/(1^(3)+2^(3)+3^(3))+.. . . to n terms

[(5(1)/(3)+3(2)/(3))*(6(2)/(3)*4(3)/(4))-:(3)/(2)]2/6

3log 2 +(1)/(4) -(1)/(2)((1)/(4))^(2)+(1)/(3)((1)/(4))^(3)-….. =