Question

\\(2x^4 \cdot 2x^{-2}y^3)^{-2}\\

Explanation:

Simplify the expression inside the parentheses

$$
LATEXBLOCK0
$$

Apply the negative outer exponent

$$
LATEXBLOCK1
$$

Write with positive exponents

$$ \frac{1}{16x^4y^6} $$

Answer:

$$\frac{1}{16x^4y^6}$$