Question

11. Calculaţi, folosind regulile de calcul cu puteri:
b) (343-3): (35)5;
e) (27)³: (2-2¹0);
a) (5-5¹2): (5²)³;
d) (7-7¹⁹): (73)4;
c) (27¹-2): (27);
f) (6³): (6-6¹).
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Answer 1

Răspuns:

Explicație pas cu pas:

11. Calculaţi, folosind regulile de calcul cu puteri:

a) (5·5¹²):(5²)³=5⁽¹⁺¹²⁾:5⁽²ˣ³⁾=5¹³:5⁶=5⁽¹³⁻⁶⁾=5⁷

b) (3⁴³·3):(3⁵)⁵=3⁽⁴³⁺¹⁾:3⁽⁵ˣ⁵⁾=3⁴⁴:3²⁵=3⁽⁴⁴-²⁵⁾=3¹⁹

c) (2⁷¹·2):(2⁷)⁸=2⁽⁷¹⁺¹⁾:2⁽⁷ˣ⁸⁾=2⁷²:2⁵⁶=2⁽⁷²⁻⁵⁶⁾=2¹⁶

d) (7·7¹⁹):(7³)⁴=7⁽¹⁺¹⁹⁾:7⁽³ˣ⁴⁾=7²⁰:7¹²=7⁽²⁰⁻¹²⁾=7⁸

e) (2⁷)³:(2·2¹⁰)=2⁽⁷ˣ³⁾:2⁽¹⁺¹⁰⁾=2²¹:2¹¹=2⁽²¹⁻¹¹⁾=2¹⁰

f) (6⁵)⁶:(6·6¹⁸)=6⁽⁵ˣ⁶⁾:6⁽¹⁺¹⁸⁾=6³⁰:6¹⁹=6⁽³⁰⁻¹⁹⁾=6¹¹