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Compute the following products. (a) ([a] + [b])^2 in Z_2 (b) ([a] + [b])^3 in Z_3 (c) ([a] + [b])^5 in Z_5 (d) Based on

Compute the following products.

(a) ([a] + [b])^2 in Z_2

(b) ([a] + [b])^3 in Z_3

(c) ([a] + [b])^5 in Z_5

(d) Based on the results of parts (a) - (c), what do you think ([a] + [b])^7 is equal to in Z_7?

 

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