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