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Nookie1986 [14]
3 years ago
8

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

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

The answer to your question is the first option

Step-by-step explanation:

                   \sqrt[4]{\frac{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]{\frac{2³3x^{6} y}{2⁷x^{4} y^{5}}}  

Simplify

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

Simplify the root and result

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

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