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danil365
@danil365
July 2022
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ПОЖАЛУЙСТА ПОМОГИТЕ!!!
Найдите значение выражения
[tex]( 2 \sqrt[4]{32* \sqrt[3]{4} } - 3 \sqrt[3]{2 * \sqrt[4]{2} } [/tex])[tex]^{-4,8}[/tex]
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m11m
=2 ⁴√(2⁵ * (2²)^(¹/₃)) - 3 ³√(2*2^(¹/₄)) =
=2 * [2^(5+²/₃)]^(¹/⁴) - 3 * [2^(1+¹/₄)]^(¹/₃)=
=2 * 2^(¹⁷/₁₂) - 3 * 2^(⁵/₁₂) =
=2^(²⁹/₁₂) -3 * 2^(⁵/₁₂) =
=2^(⁵/₁₂) *(2^(²⁴/₁₂) -3)=
=2^(⁵/₁₂) * (2² -3) =
=2^(⁵/₁₂)
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Answers & Comments
=2 * [2^(5+²/₃)]^(¹/⁴) - 3 * [2^(1+¹/₄)]^(¹/₃)=
=2 * 2^(¹⁷/₁₂) - 3 * 2^(⁵/₁₂) =
=2^(²⁹/₁₂) -3 * 2^(⁵/₁₂) =
=2^(⁵/₁₂) *(2^(²⁴/₁₂) -3)=
=2^(⁵/₁₂) * (2² -3) =
=2^(⁵/₁₂)