" (iv) "(2^(sqrt(2))times3^(1/3)times4^(1/4))/(10^(-1/5)times5^(3/5))+(3^(2/3)times5^(-7/5))/(4^(-3/5)times6)=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

3^(-5)times10^(-4)times(5^(4))/(5^(2))times6^(-5)=

((-4)/(3))times(1)/(2)+((-4)/(3))times((-7)/(5))

5(1)/(7)times3(2)/(4)

((2)/(3))^(4)times((3)/(2))^(5)times((5)/(3))^(-2)times((3)/(5))^(-3)

(4)/(5)times((-2)/(3))-(2)/(5)times(1)/(3)+(3)/(5)times(4)/(5)=

[8^(-2/3)times2^(1/2)times25^(-5/4)]÷[32^(-2/5)times125^(-5/6)] =sqrt2

Simplify (3^(-5)times5^(-7)times(-2)^(3))/(3^(4)times5^(-2)times(-2)^(-3))

[((-2)/(-3))times(1)/(5)]times((-2)/(7))=((-2)/(-3))times[(1)/(5)times((-2)/(7))]