Oblicz wartość wyrażenia.
a) (½)⁻³+1⁻³/2
b) 1⁻¹+2⁻²+2⁻³
c) ½·2⁻¹+4⁻²
d) -(1¼)⁻¹+2⁻²+2⁻¹
e) (¼)⁻¹+1/4⁻¹+4⁻¹
f) |4⁻¹-2·(⅔)⁻³|
g) (-2)⁻²+(-½)⁻²+(-1)⁻²/2
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a)
(1/2)⁻³ + 1⁻³/2 = 2³ + 1/2 = 8 + 1/2 = 8 i 1/2
b)
1⁻¹ + 2⁻² + 2⁻³ = 1 + (1/2)² + (1/2)³ = 1+1/4+1/8 = 1 + 2/8 + 1/8 = 1 i 3/8
c)
1/2 * 2⁻¹ + 4⁻² = 1/2 * 1/2 + (1/4)² = 1/4 + 1/16 = 4/16 + 1/16 = 5/16
d)
-(1 1/4)⁻¹ + 2⁻² + 2⁻¹ = -(5/4)⁻¹ + (1/2)² + 1/2 = -4/5 + 1/4 + 1/2 = (-16+5+10)/20 = -1/20
e)
(1/4)⁻¹ + 1/4⁻¹ + 4⁻¹ = 4+4+1/4 = 8 i 1/4
f)
I 4⁻¹ - 2*(2/3)⁻³ I = I 1/4 - 2*(3/2)³ I = I 1/4 - 2* 27/8 I = I 1/4 - 27/4 I = I-26/4I = 26/4 = 6 i 1/2
g)
(-2)⁻² + (-1/2)⁻² + (-1)⁻²/2 = (-1/2)²+(-2)²+1/2 = 1/4 + 4 + 1/2 = 1/4 + 4 + 2/4 = 4 i 3/4
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