If `2^(-m)\ xx1/(2^m)=1/4,` then `1/(14)\ {(4^m)^(1//2)+\ (1/(5^m))^(-1)}` is equal to `1/2` (b) 2 (c) 4 (d) `-1/4`

Explanation

`2^(-m) xx 1 / 2^m = 1/4 `
` 1/2^m xx 1/2^m = 1/4`
`1/4^m = 1/4 `
`m = 1`
`1/14 {(4^m)^(1/2) + (1/5^m)^ (-1)} `
`1/14 {2 + 5} `
` 1/14 xx 7`
`1/ 2`