Question

Oblicz:

a) √1⁹₁₆ · (-2)² + 1,2 · ⁵₁₂

b) 2½ - ½ · ∛3³₈ + 2⁻¹

c) (¾)⁻¹ - (-1⅓)² : 0,9

d) 0,8 · ³₂³ - (-2)³ · 0,1

e) (1⅓)² · (-⅓)⁻² - 1,9⁰ · 3⁻¹

Uwaga w przykładzie d) liczba(-2)³ jest w ułamku a pod nią jest 4 tylko się nie dało zapisać ;)

Answer 1

a) √1⁹₁₆ · (-2)² + 1,2 · ⁵₁₂ = 
= √25/16 * 4 + 12/10 * 5/12 = 
= 5/4 * 4 + 1/2 = 
= 5 + 1/2 = 
= 5 i 1/2
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b) 2½ - ½ · ∛3³₈ + 2⁻¹ = 
= 5/2 - 1/2 * ∛27/8 + 1/2 = 
= 2 * 3/2 + 1/2 = 
= 3 + 1/2 =
= 3 i 1/2
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c) (¾)⁻¹ - (-1⅓)² : 0,9 = 
= 4/3 - (-4/3)² : 9/10 = 
= 4/3 - 16/9 : 9/10 = 
= 12/9 - 16/9 * 10/9 = 
= -4/9 * 10/9 = 
= 40/81
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d) 0,8 · ³₂³ - (-2)³ · 0,1 
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e) (1⅓)² · (-⅓)⁻² - 1,9⁰ · 3⁻¹ = 
= (4/3)² * (-3)² - 1 * 1/3 = 
= 16/9 * 9 - 1/3 = 
= 16 - 1/3 = 
= 15 i 2/3

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Przykład d) masz niewyraźnie napisany. Napisz mi go wyraźniej na pw..

Answer 2

a)

V(1 9/16 x (-2)^2 +1,2 x 5/12 =

=V25/16 x 4 +12/10 x 5/12=

=5/4 x 4 +1/2 =

= 5 +1/2 =5 1/2

b)

2 1/2 -1/2 x 3-go st.V(3 3/8) +2^(-1) =

=5/2 -1/2 x 3-go st.V27/8 +1/2 =

=5/2 -1/2 x 3/2 +1/2 =

6/2 -3/4 =

12/4 -3/4 =

=9/4 =2 1/4

c)

(3/4)^(-1) -(-1 1/3)^2 : 0,9 =

=4/3 -(-4/3)^2:9/10 =

=4/3 -(16/9):9/10 =

=4/3 -16/9 x 10/9 =

= 108/81 -160/81 =

= -52/81

d)

0,8 x(3/2)^3 -(-2/4)^3 x 0,1 =

=8/10 x 27/8 -(-8/64) x 1/10 =

=27/10 -(-1/8) x 1/10 =

=27/10 -(-1/80) =

=216/80 + 1/80 =

= 217/80 =

=2 57/80

e)

(1 1/3)^2 x (-1/3)^(-2) -1,9^0 x 3^(-1) =

=(4/3)^2 x 3^2 -1 x 1/3 =

= 16/9 x 9 -1/3 =

= 16 -1/3 =15 2/3

 

 

(^ do potęgi)

(jeżeli żle odczytalam temat zad.d) to napisz:niewyrażny)