[" 11.Prove that "],[qquad [7{(81)^((1)/(4))+(256)^((1)/(4))}^((1)/(4))]^(4)=16807]

Prove that . (i) [8^(-(2)/(3)) xx 2^((1)/(2))xx 25^(-(5)/(4))] div[32^(-(2)/(5)) xx 125 ^(-(5)/(6)) ] = sqrt(2) (ii) ((64)/(125))^(-(2)/(3)) = (1)/(((256)/(625))^((1)/(4)))+ (sqrt(25))/(root3(64)) = (65)/(16) (iii) [7{(81)^((1)/(4)) +(256)^((1)/(4))}^((1)/(4))]^(4) = 16807 .

Simplify [{(256)^(-(1)/(2))}^(-(1)/(4))]^(2)

((81)^(-2))^(1/4)=

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

Evaluate ([(256)^((-1)/(2))]^((-1)/(4)) )^(3)

Evaluate [((256)^(-1/2))^(-1/4)]^(3)

Prove that tan^(1)((3)/(4))+tan^(-1)((1)/(7))=(pi)/(4)