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√5 = 5¹/²
∛5 = 5¹/³
√125 = 5³
∛25 = 25 ¹/³ = (5²)¹/³ = 5²/³
Pierwiastek 4 stopnia z 125 = 125¹/⁴ = (5³)¹/⁴ = 5³/⁴
Zad 2
Pierwiastek 5 stopnia z 7 = 7¹/⁵
∛7² = (7²)¹/³ = 7²/³
√1/∛7 = √1/7¹/³ = (1/7¹/³)² = 1/7²/³ = (7)⁻¹)²/³
√1/∛7⁰ =(1/√7°/³)²)⁻¹ = (1/√7°)⁻¹ = (7°)⁻¹
7 x pierwiastek z 7 piątego stopnia = 7¹ x 7¹/⁵ = 7⁶/⁵