Odpowiedź:
zad 1
(5⁻⁰'³ : 5²⁾⁵)⁻²⁾⁷ = (5⁻³⁾¹⁰⁻⁴⁾¹⁰)⁻²⁾⁷ = (5⁻⁷⁾¹⁰)⁻²⁾⁷ = 5⁷⁾¹⁰*²⁾⁷ = 5²⁾¹⁰ = 5¹⁾⁵ = ⁵√5
Odp: D
zad 2
∛(7√7) = ∛(7 * 7¹⁾²) = ∛7³⁾² = (7³⁾²)¹⁾³ = 7¹⁾²
Odp: A
zad 3
log₃(log5 + log200) = log₃log(200 * 5) = log₃ log1000 = log₃3 = 1
Odp: C
zad 4
(√6 - 2x)(√6 + 2x) = (√6)² - 4x² = 6 - 4x² = - 4x² + 6
Odp: B
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Odpowiedź:
zad 1
(5⁻⁰'³ : 5²⁾⁵)⁻²⁾⁷ = (5⁻³⁾¹⁰⁻⁴⁾¹⁰)⁻²⁾⁷ = (5⁻⁷⁾¹⁰)⁻²⁾⁷ = 5⁷⁾¹⁰*²⁾⁷ = 5²⁾¹⁰ = 5¹⁾⁵ = ⁵√5
Odp: D
zad 2
∛(7√7) = ∛(7 * 7¹⁾²) = ∛7³⁾² = (7³⁾²)¹⁾³ = 7¹⁾²
Odp: A
zad 3
log₃(log5 + log200) = log₃log(200 * 5) = log₃ log1000 = log₃3 = 1
Odp: C
zad 4
(√6 - 2x)(√6 + 2x) = (√6)² - 4x² = 6 - 4x² = - 4x² + 6
Odp: B