a) (x*x^1/2)^4 / pierwiastek 4 stopnia z x * x^5 , x=81
b)x^10 : x^5 / (1/x^3)^-2 , x=-2 i 1/2
c)x^2/3 * x^3/2 / x^3/2 : x^2/3 , x=8
d)x^2/3 : 1/x / pierwiastek 3 stopnia z x * x^5/6, x=75
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a) (x*x^1/2)^4 / pierwiastek 4 stopnia z x * x^5 , x=81
(81*81¹/²)⁴ /⁴√(81*81⁵)=(9²*9)⁴/⁴√81⁶=(9³)⁴/⁴√9¹²=9¹²/(9¹²/⁴)=9¹²/9³=9⁹
b)x^10 : x^5 / (1/x^3)^-2 , x=-2 i 1/2
(-2,5)¹⁰ :(-2,5)⁵ / (1/(-2,5)³)²=(-2,5)⁵/((-2,5)⁻³)²=(-2,5)⁵/(-2,5)⁻⁶=(-2,5)¹¹
c)x^2/3 * x^3/2 / x^3/2 : x^2/3 , x=8
(x²/³ * x³/²) / (x³/² : x²/³)=x¹³/⁶ / x⁵/⁶= x⁸/⁶=⁶√8⁸=⁶√(2³)⁸=⁶√2²⁴=2²⁴/⁶=2⁴=16
d)x^2/3 : 1/x / pierwiastek 3 stopnia z x * x^5/6, x=75
x²/³ : x⁻¹ / ∛(x*x⁵/⁶)=x⁵/³/∛(x¹¹/⁶)= x⁵/³ /(x¹¹/¹⁸)= x¹⁹/¹⁸=¹⁸√75¹⁹≈95,33