Odpowiedź:
1.
36 : (3 * 2) - 6√25 + 5 * 7 = 36 : 6 - 6 * 5 + 35 = 6 - 30 + 35 = -24 + 35 = 11
2.
(5³ - 9²) : √121 = (125 - 81) : 11 = 44 : 11 = 4
3.
[(6² - 1 2/3 : 5/√9) : √49]^-2 = [(36 - 5/3 : 5/3) : 7]^-2 = [(36 - 5/3 * 3/5) : 7]^-2 =
= [(36 - 1) : 7]^-2 = (35 : 7)^-2 = 5^-2 = 1/25
4.
√[(-5/6)*(-2,4) + √2²) + (1/6)^-2 = √[-5/6) * (-24/10) + 2] + 36 =
= √(5/6 * 12/5 + 2) + 36 = √(2 + 2) + 36 = √4 + 36 = 2 + 36 = 38
5.
[√(13² - 5²) + √(10² - 6²)] * 1/(4³ : 2^4) = [√(169 - 25) + √(100 - 36)] * 1/(64 : 16) = (√144 + √64) * 1/4 = (12 + 8) * 1/4 = 20 * 1/4 = 5
6.
(2/3)^-2 : √15²/2³ - (-4)^-1 * 0,1^-1 = 9/4 : 15/8 - (-1/4) * (1/10)^-1 =
= 9/4 * 8/15 + 1/4 * 10 = 3 * 2/5 + 0,25 * 10 = 6/5 + 2,5 = 1 1/5 + 2,5 = 1,2 + 2,5 = 3,7
7.
(4/5)^4 : 2,5^-4 + (-1 1/2)² : (-1/2)³ = (4/5)^4 : (25/10)^-4 + (-3/2)² : (-1/8) =
= (4/5)^4 : (10/25)^4 + 9/4 * (-8) = (4/5 * 25/10)^4 - 18 = (2 * 5/5)^4 - 18 =
= 2^4 - 18 = 16 - 18 = -2
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Odpowiedź:
1.
36 : (3 * 2) - 6√25 + 5 * 7 = 36 : 6 - 6 * 5 + 35 = 6 - 30 + 35 = -24 + 35 = 11
2.
(5³ - 9²) : √121 = (125 - 81) : 11 = 44 : 11 = 4
3.
[(6² - 1 2/3 : 5/√9) : √49]^-2 = [(36 - 5/3 : 5/3) : 7]^-2 = [(36 - 5/3 * 3/5) : 7]^-2 =
= [(36 - 1) : 7]^-2 = (35 : 7)^-2 = 5^-2 = 1/25
4.
√[(-5/6)*(-2,4) + √2²) + (1/6)^-2 = √[-5/6) * (-24/10) + 2] + 36 =
= √(5/6 * 12/5 + 2) + 36 = √(2 + 2) + 36 = √4 + 36 = 2 + 36 = 38
5.
[√(13² - 5²) + √(10² - 6²)] * 1/(4³ : 2^4) = [√(169 - 25) + √(100 - 36)] * 1/(64 : 16) = (√144 + √64) * 1/4 = (12 + 8) * 1/4 = 20 * 1/4 = 5
6.
(2/3)^-2 : √15²/2³ - (-4)^-1 * 0,1^-1 = 9/4 : 15/8 - (-1/4) * (1/10)^-1 =
= 9/4 * 8/15 + 1/4 * 10 = 3 * 2/5 + 0,25 * 10 = 6/5 + 2,5 = 1 1/5 + 2,5 = 1,2 + 2,5 = 3,7
7.
(4/5)^4 : 2,5^-4 + (-1 1/2)² : (-1/2)³ = (4/5)^4 : (25/10)^-4 + (-3/2)² : (-1/8) =
= (4/5)^4 : (10/25)^4 + 9/4 * (-8) = (4/5 * 25/10)^4 - 18 = (2 * 5/5)^4 - 18 =
= 2^4 - 18 = 16 - 18 = -2
Szczegółowe wyjaśnienie: