Question

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

Explanation:

Step1: Multiply constant coefficients

$4 \times (-3) = -12$

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

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

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

$y^{-3} \times y^{-1} = y^{-3+(-1)} = y^{-4}$

Step4: Combine all simplified parts

$-12 \times x^5 \times y^{-4} = \frac{-12x^5}{y^4}$

Answer:

$\frac{-12x^5}{y^4}$