Oblicz
a) (3/√2 ) ⁻⁴
b) ( - √5/10 ) ⁻³
a)
(3/√2)⁻⁴ = (√2/3)⁴ = (2¹/²)⁴/3⁴ = 2²/3⁴ = 4/81
b)
(-√5/10)⁻³ = (-10/√5)³ = (-2·5)³/(5¹/²)³ = (-2)³·5³/5³/² = -8·5³⁻³/² = -8·5³/² = -8·5√5 =
= -40√5
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a)
(3/√2)⁻⁴ = (√2/3)⁴ = (2¹/²)⁴/3⁴ = 2²/3⁴ = 4/81
b)
(-√5/10)⁻³ = (-10/√5)³ = (-2·5)³/(5¹/²)³ = (-2)³·5³/5³/² = -8·5³⁻³/² = -8·5³/² = -8·5√5 =
= -40√5