`4xx(256)^((-1)/4) div (243)^(1/5)=`

Simplify each of the following: (i) (16)^((1)/(5))xx(2)^((1)/(5)) (ii) ((243)^((1)/(4)))/((3)^((1)/(4)))

1/(216)^(-2/3) + 1/(256)^(-3/4) + 1/(243)^(-1/5) is equal to:

Simplify each of the following: (i) (16)^(1/5)xx(2)^(1/5) (ii) (243)^(1/ 4)/(3)^(1/ 4)

Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

Simplify: (4)/((216)^(-(2)/(3)))+(1)/((256)^(-(3)/(4)))+(2)/((243)^(-(1)/(5)))

Simplify: (i) (2 ^(-1) xx 5 ^(-1)) ^(-1) div 4 ^(-1) (ii) (4 ^(-1)+ 8 ^(-1)) div ((2)/(3)) ^(-1)

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 .