Question

\\8p^2q^4 \times 5(p^4q^3)^2\\

Explanation:

Simplify the exponential term

$$ (p^4 q^3)^2 = (p^4)^2 \cdot (q^3)^2 = p^8 q^6 $$

Multiply the coefficients and combine like terms

$$ 8p^2 q^4 \times 5p^8 q^6 = (8 \times 5) \cdot (p^2 \cdot p^8) \cdot (q^4 \cdot q^6) $$

Apply exponent addition rules

$$ 40 \cdot p^{2+8} \cdot q^{4+6} = 40p^{10}q^{10} $$

Answer:

$$40p^{10}q^{10}$$