MATHEMATICS HIGH SCHOOL

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

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Answer 1

Answer:

Answer:

The answer to your question is the first option

Step-by-step 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

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

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