Odpowiedź:
zad 5
a)
(3⁷ + 3⁵)/10 = 3⁵(3² + 1)/10 = 3⁵(9 + 1)/10 = 3⁵ * 10/10 = 3⁵
b)
3¹²/(2¹¹ + 2¹²) = 3¹²/2¹¹(1 + 2) = 3¹²/(2¹¹ * 3) = 3¹²/(2 * 2¹¹) = 3¹²⁻¹/2¹¹ = 3¹¹/2¹¹ =
= (3/2)¹¹ = 1,5¹¹
c)
6¹⁴/(3¹⁵ - 3¹³) = 6¹⁴/3¹³(3² - 1) = 6¹⁴/3¹³(9 - 1) = (2¹⁴ * 3¹⁴)/(3¹³ * 8) = 2¹⁴/2³ * 3¹⁴/3¹³ =
= 2¹⁴⁻³ * 3¹⁴⁻¹³ = 2⁹ * 3
