Question

verify whether a÷b=b÷a​

Answer 1

Answer:

Operation ∗ is defined by a∗b=

2

ab

Now we have to check whether the operation is associative or not.

Let us consider another variable c, the operation is said to be associative if a∗(b∗c)=(a∗b)∗c

Consider a∗(b∗c)=a∗(

2

bc

)

=

4

abc

Also, (a∗b)∗c=(

2

ab

)∗c=

4

abc

∴ a∗(b∗c)=(a∗b)∗c

Hence, ∗ is associative.

Answer 2

Step-by-step explanation:

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