Пошаговое объяснение:
••• ⁴√324 = ⁴√(2*2*3*3*3*3) = ⁴√(2²*3⁴) = ⁴√2² * ⁴√3⁴ =
= ²√2 * 3 = 3√2
•••⁴√4 = ⁴√2² = ²√2 = √2
•••³√128 = ³√(2*4*4*4) = ³√(2*4³) = ³√2 * 4 = 4 ³√2
•••³√2000 = ³√(2*10*10*10) = ³√(2*10³) =
= ³√2 * 10 = 10 ³√2
•••³√16 / ³√2 = ³√(16/2) = ³√8 = ³√(2*2*2) =
= ³√(2³) = 2
•••⁵√256 / ⁵√8 = ⁵√(256/8) = ⁵√32 = ⁵√(2⁵) = 2
Пошаговое объяснение:
••• ⁴√324 = ⁴√(2*2*3*3*3*3) = ⁴√(2²*3⁴) = ⁴√2² * ⁴√3⁴ =
= ²√2 * 3 = 3√2
•••⁴√4 = ⁴√2² = ²√2 = √2
•••³√128 = ³√(2*4*4*4) = ³√(2*4³) = ³√2 * 4 = 4 ³√2
•••³√2000 = ³√(2*10*10*10) = ³√(2*10³) =
= ³√2 * 10 = 10 ³√2
•••³√16 / ³√2 = ³√(16/2) = ³√8 = ³√(2*2*2) =
= ³√(2³) = 2
•••⁵√256 / ⁵√8 = ⁵√(256/8) = ⁵√32 = ⁵√(2⁵) = 2