Answer:
The answer to your question is the first option
Step-by-step explanation:
[tex]\sqrt[4]{\frac{24x^{6} y}{128x^{4} y^{5}}}[/tex]
Find the prime factors of 24 and 128
24 2 128 2
12 2 64 2
6 2 32 2
3 3 16 2
1 8 2
4 2
2 2
1
24 = 2³ 3 128 = 2⁷
[tex]\sqrt[4]{\frac{2³3x^{6} y}{2⁷x^{4} y^{5}}}[/tex]
Simplify
[tex]\sqrt[4]{\frac{3x^{2}}{2^{4} y^{4}}}[/tex]
Simplify the root and result
[tex]\frac{\sqrt[4]{3x^{2}}}{2y}[/tex]
