Hi,

I was wondering if there is anything wrong with the working for the question above:

my working

(5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

= (5 ^ [1/4 x 2]) x (2 ^ [1/6 x 2]) / 5 ^-1/2 x 2 ^2/3

= 5 ^ 1/2 x 2 ^ 1/3 / 5 ^-1/2 x 2 ^2/3

= 5 ^ [1/2 -(-1/2)] x 2 ^ (1/3 - 2/3)

= 5 x 2 ^ -1/3

= 5 / 2 ^3

= 5 / 8

The answer provided is 10.

Any help is appreciated.