5(1+(27)/(125)a^(3)+(99)/(5)+(27a^(2))/(25)

Factorise 1+(27)/(125)a^3+(9a)/(5)+(27a^2)/(25)

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

Evaluate each of the following removing radical sign and negative indices wherever they occur (i) (64)^(1/3) (ii) (125)^(-1/3) (iii) (27)^(-2/3) (iv) (64/25)^(-3/2) (v) (-1/2)^(-5) (vi) (1/4)^(-1) (vii) 5^(-2)

1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(25)+(1.3.5)/(2.4.6).(27)/(125)+…...oo=

Evaluate : 5^(-4)xx(125)^((5)/(3))+(25)^(-(1)/(2))

Determine whether the sum of all the terms in the series is finite. In case it is finite find it. (3)/(5) , ( - 9)/( 25) ( 27)/(125), ( - 81)/(625) ....

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