Question

1. simplify: (-2v^9) cdot (-4v^2)

Explanation:

Step1: Multiply the coefficients

$(-2)\times(-4)=8$

Step2: Use the product - rule of exponents

When multiplying two terms with the same base $v$, we add the exponents. So $v^{9}\times v^{2}=v^{9 + 2}=v^{11}$

Step3: Combine the results

The product of $(-2v^{9})$ and $(-4v^{2})$ is $8v^{11}$

Answer:

$8v^{11}$