`3^(2)times3^(4)times3^(8)`

3^(4)times3^(7)=[]

(2^(2)times3^(4)times4)/(3times32),

(6^(3)times7^(4)times8^(5))/(4^(3)times9^(2)times16)

Evaluate the value 3^((1)/(2))times3^((1)/(4))times3^((1)/(3)) ........ .Infinite terms

Simplify and express each of the following as a rational number of the form (p)/(q) . (i) [((5)/(4))^(2)-:((2)/(5))^(-4)]-:((5)/(4))^(0), (ii) [((2)/(3))^(2)]^(3)times((1)/(3))^(-2)times3^(-1)times(1)/(8)]]

(4^(5)times a^(8)times b^(3))/(4^(5)times a^(5)times b^(2))

(((-2)/(3))^(-2))^(3)times((1)/(3))^(-4)times3^(-1)times(1)/(6)

solve it : (ii) (-3)/(5)times(-3)/(5)times(-3)/(5)times(-3)/(5) (iii) (-9)/(2)times(4)/(2)times(-4)/(2)times(-4)/(2)times(-4)/(2)times(-4)/(2) (iv) (-5)/(3)times(-5)/(3)times(-5)/(3)times(-5)/(3) (v) (-6)/(2)times(-6)/(2)times(-6)/(2)times(-6)/(2)times(-6)/(2)

1+(1)/(4)+(1times3)/(4times8)+(1times3times5)/(4times8times12)=

[(1)/(4)+(1times3)/(4times8)+(1times3times5)/(4times8times12)]=