Answer:
The answer to your question is 2i
Step-by-step explanation:
[tex]\sqrt[4]{-16}[/tex]
- Get the prime factors of -16
- 16 2
- 8 2
- 4 2
- 2 2
1
16 = 2⁴
- Express the -16 as a power
[tex]\sqrt[4]{-2^{4}} or \sqrt[4]{2^{4}i^{2}}[/tex]
Remember that -1 = i²
- Get the fourth root of -16
2i
