1. The problem is to find the product of the two expressions: $74x^4 y^5 z^2$ and $120x^3 y^6 z^8$. 2. The formula for multiplying terms with the same base is to add their exponents: $$a^m \times a^n = a^{m+n}$$. 3. Multiply the coefficients: $$74 \times 120 = 8880$$. 4. Add the exponents for each variable: - For $x$: $$4 + 3 = 7$$ - For $y$: $$5 + 6 = 11$$ - For $z$: $$2 + 8 = 10$$ 5. Combine the results: $$8880x^7 y^{11} z^{10}$$ 6. So, the product of the two expressions is $$8880x^7 y^{11} z^{10}$$.