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The Product Rule of Exponents states that for any real numbers a and b and any integers m and n,
a^m * a^n = a^(m+n)
Using this rule, we can simplify the expression 75 * 72 as follows:
75 * 72 = (5^2) * (2^3) * (2^2)
= 5^(2+0) * 2^(3+2)
= 5^2 * 2^5
= 25 * 32
= 800
So, 75 * 72 simplifies to 800.