" 1) "{((-2)/(3))^(2)}^(2)

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))

Multiply the (3)/(2) p ^(2) + (2)/(3) q ^(2), (2p ^(2) - 3q ^(2))

Correct the mistakes in the following (2/(3))^(-2)=(3/(2))^(-2)

(-(2)/(3))^(3)times(-(2)/(3))^(2)=(-(2)/(3))^(2m-1), then value of m

Let H_(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n) , then the sum to n terms of the series (1^(2))/(1^(3))+(1^(2))/(1^(3))+(2^(2))/(2^(3))+(1^(2)+2^(2)+3^(2))/(1^(3)+2^(3)+3^(3))+ . . . , is

Simplify the following: 2^(-2)-{-2^(-3)-(2^(-2)-3^(-2))}=

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