Final answer:
To multiply the given expression, 2y⁵v² × 2y × 2v⁷, we can combine the coefficients and add the exponents of the variables. The simplified answer is 4y⁶v⁹.
Step-by-step explanation:
To multiply the given expression, 2y⁵v² × 2y × 2v⁷, we can combine the coefficients and add the exponents of the variables. The coefficient of the product will be the product of the coefficients, which is 2 × 2 = 4.
For the variable y, we add the exponents, so y⁵ × y = y⁵⁺¹ = y⁶.
Similarly, for the variable v, we add the exponents, so v² × v⁷ = v²⁺⁷ = v⁹.
Putting it all together, the simplified answer is 4y⁶v⁹.