To simplify the expressions given:

C = (4^2√3 - 4^√3 - 1)*2^(-2√3)

= (16√3 - 4√3 - 1)*(1/(2^2√3))

= 12√3 - 1 * (1/(2^2√3))

= (12√3 - 1) / 2^(2√3)

Now, let's simplify D:

D = (10^2 + √7) / (2^2 + √7*5 + √7)

= (100 + √7) / (4 + 5√7 + √7)

= (100 + √7) / (4 + 6√7)

= (100 + √7) / 4(1 + 1.5√7)

= (100 + √7) / 4(1.5√7)

= (100 + √7) / 6√7

= (100 + √7) / 6√7

= (100√7 + 7) / 6√7

Therefore, C = (12√3 - 1) / 2^(2√3) and D = (100√7 + 7) / 6√7.