`{(125)^(-2)times(16)^((-3)/(2))}^((-1)/(6))=`

{(125)^(-2)xx(16)^(-3/2)}^(-1/6)=

((9)/(4))^((1)/(4))xx((125)/(27))^((1)/(6))-:((625)/(16))^((1)/(8))=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 .

(1) (4)/((216)^((2)/(3)))+(1)/((256)^((3)/(4)))+(2)/((243)^((1)/(5))) (ii) ((64)/(125))^((2)/(3))+((256)/(625))^((1)/(4))+((3)/(7))^(0) (iii) ((81)/(16))^((3)/(4))(((25)/(9))^((3)/(2))-:((5)/(2))^(-3)) (iv) ((25)^((5)/(2))times(729)^((1)/(3)))/((125)^((2)/(3))times(27)^((2)/(3))times8^((4)/(3)))

Evaluate : ((27)/(125))^((2)/(3))xx((9)/(25))^(-(3)/(2))

(16^(-1)xx5^(3))/(2^(-4))

(5)/(4)times(2)/(6)+(3)/(2)times(2)/(1)+(3)/(6)times(3)/(2)

(5)/(8)+(1)/(2)times((5)/(8)-(6)/(16))=

Evaluate : (64)^((2)/(3))-root(3)(125)-(1)/(2^(-5))+(27)^(-(2)/(3))xx((25)/(9))^(-(1)/(2))