Question

\\(7y^5 x^7 \cdot 2y^{-2} x^3\\)

Explanation:

Identify the terms in the expression

$$ 7y^5x^7 \cdot 2y \cdot 2x^3 $$

Group coefficients and variables

$$ (7 \cdot 2 \cdot 2) \cdot (x^7 \cdot x^3) \cdot (y^5 \cdot y^1) $$

Simplify coefficients and apply exponent rules

$$ 28 \cdot x^{7+3} \cdot y^{5+1} = 28x^{10}y^6 $$

Answer:

\(28x^{10}y^6\)