The Product Rule of Exponents states that when multiplying two numbers with the same base, you can add their exponents.
In this case, the base is 7 and the exponents are 2 and 3.
So, the exponent of 72⋅73 in exponential simplest form is 2 + 3 = 5.
Therefore, the answer is 72⋅73 = 75 in exponential simplest form.