Answer:
The answer to your question is: 4x²y³
Explanation:
Simplify ∛(-64x⁶y⁹)
First, find the prime factors of 64
64 2
32 2
16 2
8 2
4 2
2 2
1 then 64 = 2⁶
∛ (-2⁶x⁶y⁹)
Roots can be expressed as fractional powers where the numerator is the power of the number inside the root and the denominator is the root.
Ex. -2 ⁶/³ x⁶/³ y⁹/³
Now simplify
(-2)² x² y ³
Finally
4x²y³