Odpowiedź:
zad 1
(2⁷ * 5⁹)/10⁷ = (2⁷ * 5⁷ * 5²)/10⁷ = (10⁷ * 5²)/10⁷=5²
Odp: D
zad 2
(2√3 - 3)² = (2√3)²- 2 * 3 * 2√3 + 3² = 4 * 3 - 12√3 + 9 = 12 - 12√3 + 9 =
= 21 - 12√3
Odp: B
zad 3
⁴√(2/7) * ⁴√(7/32) = ⁴√(2/7 *7/32) = ⁴√(2/32)= ⁴√(1/16) = 1/2
∛(-1) * ∛(- 1/8)= ∛[(-1) * (- 1/8)] = ∛(1/8)= 1/2
Odp: D
zad 4
a = 2,35 * 10⁻¹² , b = 0,4* 10⁻⁴
a * b = 2,35 * 10⁻¹² * 0,4 * 10⁻⁴ = 2,35 * 0,4 * 10⁻¹²⁻⁴ = 0,94 * 10⁻¹⁵ =
= 9,4 * 10⁻¹⁶
Odp: A
zad 5
2log₃6 - log₃4 = log₃6² - log₃4 = log₃36 - log₃4 = log₃36/4 = log₃9 = 2
Odp: B
