Scrieti produsele ca putere: a) 19.19.19.19.19.19.19. 19. 19; b) 3.3.3.9.3.9.3.27.3; c) 3.27.3.81; d) 5.25.125.625.5; e) 10. 10. 10. 100 100 1000 1000. f) 2.4.8.16.32.64.128; g) 7.7.49.343.7.49.7.
Răspunsuri la întrebare
Răspuns:
a)19 la puterea a 9-a
b)3 la puterea a 13-ea
c)3 la puterea a 9-a
d)5 la puterea a 11-ea
e)10 la puterea a 13-ea
f) 2 la puterea a 28-a
g)7 la puterea a 11-ea
Sper că te-am ajutat.
Răspuns:
Explicație pas cu pas:
a) 19 × 19 × 19 ×19×19×19×19×19×19 = 19⁹
b) 3 × 3 × 3 × 9 × 3 × 9 × 3 × 27 × 3 =
= 3⁽¹⁺¹⁺¹⁾ × 3² × 3 × 3² × 3 × 3³ × 3 =
scriu baza și adun exponenții
= 3⁽³⁺²⁺¹⁺²⁺¹⁺³⁺¹⁾ =
= 3¹³
_______________________
c) 3 × 27 × 3 × 81 = 3⁹
= 3 × 3³ × 3 × 3⁴ =
= 3⁽¹⁺³⁺¹⁺⁴⁾ =
= 3⁹
_____________________
d) 5 × 25 × 125 × 625 × 5 = 5¹¹
= 5 × 5² × 5³ × 5⁴ × 5 =
= 5⁽¹⁺²⁺³⁺⁴⁺¹⁾ =
= 5¹¹
__________________________
e) 10 × 10 × 10 × 100 × 100 × 1000 × 1000 = 10¹³
= 10⁽¹⁺¹⁺¹⁾ × 10² × 10² × 10³ × 10³ =
= 10⁽³⁺²⁺²⁺³⁺³⁾ =
= 10¹³
_______________
f) 2 × 4 × 8 × 16 × 32 × 64 × 128 = 2²⁸
= 2 × 2² × 2³ × 2⁴ × 2⁵ × 2⁶ × 2⁷ =
= 2⁽¹⁺²⁺³⁺⁴⁺⁵⁺⁶⁺⁷⁾ =
= 2²⁸
___________________
g) 7 × 7 × 49 × 343 × 7 × 49 × 7 = 7¹¹
= 7⁽¹⁺¹⁾ × 7² × 7³ × 7 × 7² × 7 =