Question

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

Explanation:

Step1: Group constant and like terms

$(2 \cdot 2) \cdot (x^2 \cdot x^{-5}) \cdot (y \cdot y^4)$

Step2: Multiply constants and apply exponent rules

$4 \cdot x^{2+(-5)} \cdot y^{1+4}$

Step3: Simplify exponents

$4 \cdot x^{-3} \cdot y^{5}$

Step4: Rewrite positive exponents only

$\frac{4y^5}{x^3}$

Answer:

$\frac{4y^5}{x^3}$