Each term in a binomial expansion has degree n; therefore, the product of the exponents of each term is n.

The statement is false. In a term of (a + b)^n, the exponents of a and b add up to n; they do not generally multiply to n. For example, when n = 3, a term can be a²b, whose exponents multiply to 2 × 1 = 2, not 3.

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