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-Dominant- [34]
3 years ago
5

Which expression is equivalent to 4√24x∧6y÷ 128x∧4y∧5

Mathematics
1 answer:
LenKa [72]3 years ago
5 0

Answer:

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

Step-by-step explanation:

\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}}

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

= \sqrt[4]{(\frac{3}{16})\times {(x)^{6-4}}\times{(y)^{1-5}}}

= \sqrt[4]{(\frac{3}{16})\times x^{2}y^{-4}}

= \sqrt[4]{\frac{3}{(2)^{4}}\times x\times y^{-4}}

= \sqrt[4]{(3\times x^{2)\times (\frac{y^{-1}}{2})^{4}}}

= \frac{y^{-1}}{2}\sqrt[4]{3x^{2}}

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

Option D. \sqrt[4]{\frac{3x^{2}}{2y}}  is the correct answer.

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