Answer:
36x¹¹y⁹z¹²
Step-by-step explanation:
Before we begin, remember the following rules:
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃyᵇ * xⁿy° = xᵃ⁺ⁿ yᵇ⁺°
Now, for the given we have:
(12x²y³z⁴)(3x⁹y⁶z⁸)
Combining like terms and applying the above rules:
(12)(3) * x²⁺⁹ * y³⁺⁶ * z⁴⁺⁸
36x¹¹y⁹z¹²
Checking the options we have, we would find that this corresponds to the third option.
Hope this helps :)