Question

there are some algebraic expressions on colored cards: (3w^{5}v^{5}), (12w^{12}v^{8}), (3w^{19}v^{8}), (12w^{7}v^{5}), and a fraction (\frac{18w^{15}v^{10}}{6w^{3}v^{2}}) on the right side.

Explanation:

Step1: Simplify coefficients

$\frac{18}{6}=3$

Step2: Simplify $w$ terms

$w^{15-3}=w^{12}$

Step3: Simplify $v$ terms

$v^{10-2}=v^{8}$

Step4: Combine all simplified parts

$3 \times w^{12} \times v^{8}$

Answer:

$3w^{12}v^{8}$ (matches the orange card)