Interesting Maths Problems - Please Help!!!?

yeah

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Please go to the following link to see the questions (it is impossible to type mathematical signs into YA):

http://www.flickr.com/photos/25189598@N05/3908134096/sizes/l/

If you can, please explain your answers.
 
(16 / 81) ^ (-3 / 4) = (81 / 16) ^ (3 / 4) = (3 / 2) ^ 3 = 27 / 8

(3 * x^2 * y) ^ 3 = 27 * x^6 * y^3

(2 * t ^ -3) ^ -2 = (1/4) * t ^ 6

10 * x^4 * y^3

4k + 32

k = 2 - 2c

3 * root(27) = 9 * root(3) = 3 ^ (2.5) or n = 2.5

(2 + root(2)) / 2

8 * root(8) = 8 ^ (1.5) or k = 1.5

8 * root(8) = 8 * root(4 * 2) = 8 * 2 * root(2) = 16 * root(2)
m = 16

root(2) / 32
p = 32
 
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