Which expression is equivalent to open paren the fraction with numerator m to the 5th power n and denominator p q squared close paren to the 4th power ?

Raise each factor in the fraction to the fourth power: (m⁵n ÷ pq²)⁴ = m²⁰n⁴ ÷ (p⁴q⁸). This uses the power-of-a-product and power-of-a-quotient rules, multiplying each exponent by 4. Therefore, the equivalent expression is choice B, with numerator m²⁰n⁴ and denominator p⁴q⁸.

AI-written and checked against the verified answer.