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State the reason for following binary …

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State the reason for following binary operations defined on the set Z , To be not commutative a*b=ab3
  • 1 answers

Thvija S 7 years, 7 months ago

Given a*b = ab^3
Then b*a = ba^3, i.e, a^3b
Since a^3b is not equal to ab^3, the given binary operation is not commutative.
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