Let * be a binary operation on `Q_0` (set of non-zero rational numbers) defined by `a*b=(3a b)/5` for all `a , b in Q_0dot`Find the identity element.

Explanation

To find the identity element for the binary operation defined by \( a * b = \frac{3ab}{5} \) on the set of non-zero rational numbers \( Q_0 \), we need to determine an element \( e \) such that for any \( a \in Q_0 \):

\[ a * e = a \]

### Step 1: Set up the equation for the identity element
Using the definition of the binary operation, we can write:
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