What is the simplified form of - 24m⁵n⁴/8m⁻7n⁻2?

We have the following expression:

-24m⁵n⁴ / 8m ^ ⁻7n ^ ⁻2

We can rewrite using power properties:

-24m⁵n⁴ / (8 ((1 / m ^ 7) (1 / n ^ 2)))

Doing double c we have:

(-24m⁵n⁴) * (m ^ 7) (n ^ 2) / 8

Rewriting:

(-3m⁵n⁴) * (m ^ 7) (n ^ 2)

-3 (m ^ (5 + 7)) (n ^ (4 + 2))

-3 (m ^ (12)) (n ^ (6))

Answer:

The simplified expression is:

-3m ^ 12n ^ 6