Mathematics: Which expression is equivalent to ^4sqrt6/^3sqrt2? 1) ^12sqrt27/2 2) ^4sqrt24/2 3) ^12sqrt55296/2 4) ^12sqrt177147/3

Which expression is equivalent to ^4sqrt6/^3sqrt2?

Ответ:

bbygrl70

12.03.2022

$\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{}\ 1)\ \sqrt[12]{\dfrac{27}{2}}$

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Ответ:

sriharin58ozhj9m

01.07.2021

Mathematics

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step-by-step explanation:

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Which expression is equivalent to ^4sqrt6/^3sqrt2? 1) ^12sqrt27/2 2) ^4sqrt24/2 3) ^12sqrt55296/2 4) ^12sqrt177147/3

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