" Prove that "(1)/(3+4i)=(3)/(25)-(4)/(25)

Prove that ((81)/(16))^(-(4)/(4))xx{((25)/(9))^(-(3)/(2))-:((5)/(2))^(-3)}=1

prove that ((81)/(16))^(-(4)/(4))*{((25)/(9))^(-(3)/(2))-:((5)/(2))^(-3)}=1

prove that ((81)/(16))^(-(4)/(4))*{((25)/(9))^(-(3)/(2))+((5)/(2))^(-3)}=1

Prove that: ((64)/(125))^(-(2)/(3))+(1)/(((256)/(625))^((1)/(4)))+((sqrt(25))/(643))^(0)=(61)/(16)

Prove that: (i) (1-i)^(2)=-2i (ii) (1+i)^(4)xx(1+(1)/(i))^(4)=16 (iii) {i^(19)+((1)/(i))^(25)}^(2)=-4 (iv) i^(4n)+i^(4n+1)+i^(4n+2)+i^(4n+3)=0 (v) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)=1+4i .

If tan theta=(3)/(4), then cos^(2)theta-sin^(2)theta=(7)/(25)(b)1(c)-(7)/(25) (d) (4)/(25)

12% as a fraction is (3)/(25) (b) (4)/(25)(3)/(20) (d) (6)/(25)

Prove that ""^(25)C_(4)+ Sigma_(r=0)^(4) ""^((29-r))C_(3)=""^(30)C_(4)

If tan theta=(3)/(4), prove that sin2 theta=(24)/(25),cos2 theta=(7)/(25) and tan3 theta=-(117)/(44)

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}