Question

1. $4x^{2}y^{3} \cdot 3x^{4}y^{4}$

Explanation:

Step1: Multiply the coefficients

$4 \times 3 = 12$

Step2: Combine $x$-terms (add exponents)

$x^2 \cdot x^4 = x^{2+4} = x^6$

Step3: Combine $y$-terms (add exponents)

$y^3 \cdot y^4 = y^{3+4} = y^7$

Step4: Multiply all results together

$12 \cdot x^6 \cdot y^7$

Answer:

$12x^6y^7$