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Ex 1.4

Ex 1.4 ,1 (i)
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Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at Aug. 11, 2021 by Teachoo

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Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (iv) On Z+, define a * b = 2^๐๐ Check commutative * is commutative if a * b = b * a Since a * b = b * a โ a, b, c โ Z+ * is commutative a * b = 2^๐๐ b * a = 2^๐๐ = 2^๐๐ Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c โ a * (b * c) * is not an associative binary operation (a * b)* c = (2^๐๐) * c = 2^(2^๐๐ ๐) a * (b * c) = a * (2^๐๐) = 2^(๐2^๐๐ )