Question

1. $4v^{-5} \cdot 3v^{2}$

Explanation:

Step1: Multiply the coefficients

$4 \times 3 = 12$

Step2: Combine the variable terms

$v^{-5} \cdot v^{2} = v^{-5+2} = v^{-3}$

Step3: Rewrite positive exponent form

$v^{-3} = \frac{1}{v^3}$

Step4: Combine coefficient and variable

$12 \cdot \frac{1}{v^3} = \frac{12}{v^3}$

Answer:

$\frac{12}{v^3}$