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The Product Rule of Exponents states that for any nonzero number a, a^m * a^n = a^(m+n).
Using the Product Rule of Exponents, we can simplify the expression 7^2 * 7^3 as follows:
7^2 * 7^3 = 7^(2+3) = 7^5
Therefore, 7^2 * 7^3 = 7^5.