Question

1. $-3x^{4}y^{3} cdot -5x^{-2}y^{2}$

Explanation:

Step1: Multiply the coefficients

$(-3) \times (-5) = 15$

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

$x^{4} \times x^{-2} = x^{4 + (-2)} = x^{2}$

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

$y^{3} \times y^{2} = y^{3 + 2} = y^{5}$

Step4: Multiply all results together

$15 \times x^{2} \times y^{5}$

Answer:

$15x^{2}y^{5}$