First group the coefficients and variables.

(p³q²)(p⁴q²)

= (p³ · p⁴)(q² · q²) (Apply commutative property of multiplication: a × b = b × a)

Since base is common,apply the product of powers property: a^m·aⁿ= a^{m + n}.

= p^{3 + 4} · q^{2 + 2}

= p⁷ · q⁴                           (Add exponents: 3 + 4 = 7 and 2 + 2 = 4)

The product of (p³q²)(p⁴q²) is p⁷ q⁴.