Odpowiedź:
1
√36 + ∛125 = 6 + 5 = 11
√(1 9/16) = √25/16 = 5/4 = 1 1/4
∛0,027 = 0,3
2.
8^0 + 4^1 = 1 + 4 = 5
5³ - 2³ = 125 - 8 = 117
3² - 2³ = 9 - 8 = 1
3.
√2 * √32 = √(2*32) = √64 = 8
∛24 : √3 = ⁶√24² : ⁶√3³ = ⁶√263²/⁶√3³ = ⁶√2^6/3 = ⁶√64/3 = 2⁶√3^5/3
∛(8*3) : √3 = 2∛3 : √3 = 2 * 3^1/3 : 3^1/2 = 2 * 3^(1/3-1/2) =
= 2 * 3^(2/6 - 3/6) = 2 * 3^(-1/6) = 2 : (1/3)^1/6 = 2 : ⁶√1/3) = 2/⁶√1/3
4.
(-2)^6 : (-2)^4 * (-2)² = (-2)² * (-2)² = (-2)^4 = 16
[(-1)^7]³ = (-1)^21 = -1
Szczegółowe wyjaśnienie:
