Question

Which expression is equivalent to (it is in the attached)

Answer 1

The answer to your question is the first option

Explanation:

`\sqrt[4]{(24x^(6) y)/(128x^(4) y^(5))}`

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

`\sqrt[4]{(2³3x^(6) y)/(2⁷x^(4) y^(5))}`

Simplify

`\sqrt[4]{(3x^(2))/(2^(4) y^(4))}`

Simplify the root and result

`\frac{\sqrt[4]{3x^(2)}}{2y}`