Final answer:
To multiply the polynomials (8t^7u^3)(3^u^5) using the distributive property, distribute each term of the first polynomial to every term of the second polynomial. The product is 24t^7u^8.
Step-by-step explanation:
To multiply the polynomials (8t^7u^3)(3^u^5) using the distributive property, we will distribute each term of the first polynomial to every term of the second polynomial.
Starting with the first term of the first polynomial, 8t^7u^3, we will multiply it by each term of the second polynomial, 3^u^5. This will give us:
8t^7u^3 * 3^u^5 = 8t^7u^3 * 3 * u^5 = 8 * 3 * t^7 * u^3 * u^5 = 24t^7u^8
Therefore, the product of the polynomials (8t^7u^3)(3^u^5) is 24t^7u^8.
Learn more about Multiplying polynomials