Odpowiedź:
zad 1
I 3⁴ * 9³ * 3³ = 3⁴⁺³ * (3²)³ = 3⁷ * 3⁶ = 3⁷⁺⁶ = 3¹³
II 9⁶ : 9² * 3² = 9⁶⁻² * 3² = 9⁴ * 3² = (3²)⁴ * 3² = 3⁸ * 3² = 3⁸⁺² = 3¹⁰
III 3¹² * 9⁶ : 3¹² = 1 * (3²)⁶ = 3¹²
IV 9° : 3 * 3¹¹ = 1 * 3¹¹⁻¹ = 3¹⁰
Odp: c
zad 2
a) 5² * 5¹⁵ = 5²⁺¹⁵ = 5¹⁷
b) 25 * 25 * 5¹³ = 5² * 5² * 5¹³ = 5²⁺²⁺¹³ = 5¹⁷
c) 5¹⁹ : 25 = 5¹⁹ : 5² = 5¹⁹⁻² = 5¹⁷
d) (5⁴)³ * 5⁰ = 5¹² * 1 = 5¹²
Odp: d)
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Odpowiedź:
zad 1
I 3⁴ * 9³ * 3³ = 3⁴⁺³ * (3²)³ = 3⁷ * 3⁶ = 3⁷⁺⁶ = 3¹³
II 9⁶ : 9² * 3² = 9⁶⁻² * 3² = 9⁴ * 3² = (3²)⁴ * 3² = 3⁸ * 3² = 3⁸⁺² = 3¹⁰
III 3¹² * 9⁶ : 3¹² = 1 * (3²)⁶ = 3¹²
IV 9° : 3 * 3¹¹ = 1 * 3¹¹⁻¹ = 3¹⁰
Odp: c
zad 2
a) 5² * 5¹⁵ = 5²⁺¹⁵ = 5¹⁷
b) 25 * 25 * 5¹³ = 5² * 5² * 5¹³ = 5²⁺²⁺¹³ = 5¹⁷
c) 5¹⁹ : 25 = 5¹⁹ : 5² = 5¹⁹⁻² = 5¹⁷
d) (5⁴)³ * 5⁰ = 5¹² * 1 = 5¹²
Odp: d)