What is the quotient of the fraction with numerator m to the 6th power and denominator 5 divided by the fraction with numerator 5 and denominator m squared ? Assume m is not equal to 0

Write the division as (m⁶/5) ÷ (5/m²). Dividing by a fraction means multiplying by its reciprocal, so this becomes (m⁶/5) × (m²/5) = m⁸/25. Therefore, the quotient is the fraction with numerator m to the 8th power and denominator 25, choice C.

AI-written and checked against the verified answer.