`(-1/2)^3xx(-1/3)^4`

Simplify: (((-2)/3)^(-2))^(3)xx(1/3)^(-4)xx3^(-1)xx1/6

Simplify and give reason : (1/2)^-3xx(1/4)^-3xx(1/5)^-3

Find the value of [((1)/(2))^(2)]^(3)xx((1)/(3))^(-4)xx3^(-2)xx(1)/(6)

Simplify: (2^(1/2)xx3^(1/3)xx4^(1/4))/(10^(-2/3)xx5^(3/5))div(3^(4/3)xx5^(-7/5))/(4^(-3/5)xx6)

Evaluate : [(-(2)/(3))^(-2)]^(3)xx((1)/(3))^(-4)xx3^(-1)xx(1)/(6)

Prove that: 3^(1/2)xx3^(1/4)xx3^(1/8)xx...=3

Prove that : 3^(1/2)xx3^(1/4)xx3^(1/8)xx.......... to oo=3 .

(2^((1)/(2))xx3^((1)/(3))xx4^((1)/(4)))/(10^(-(1)/(5))xx5^((3)/(5)))-:(3^((4)/(3))xx5^(-(7)/(5)))/(4^(-(3)/(5))xx6)=10

Prove that: (2^(1/2)\ xx\ 3^(1/3)\ xx\ 4^(1/4))/(10^(-1/5)\ xx\ 5^(3/5))\ -:(3^(4/3)\ xx\ 5^(-7/5))/(4^(-3/5)\ xx\ 6)=10