ex 18 si 19 este fff urgent dau coroana ma abonez
Răspunsuri la întrebare
Răspuns:
ex 18
a) 8¹² : 4¹⁸ = (2³)¹² : (2²)¹⁸
= 2³⁶ : 2³⁶
= 2⁰
= 1
b) 81³⁰ : 27⁴⁰ = (3⁴)³⁰ : (3³)⁴⁰
= 3¹²⁰ : 3¹²⁰
= 3⁰ = 1
c) 25³⁹ : 125²⁵ = (5²)³⁹ : (5³)²⁵
= 5⁷⁸ : 5⁷⁵
= 5³
d) 16⁸ : 64⁵ = (2⁴)⁸ : (2⁶)⁵
= 2³² : 2³⁰
= 2²
e) 4¹² • 8⁵ : 32⁷ = (2²)¹² • (2³)⁵ : (2⁵)⁷
= 2²⁴ • 2¹⁵ : 2³⁵
= 2³⁹ : 2³⁵
= 2⁴
f) 27⁹ • 9¹⁰ : 81¹¹ = (3³)⁹ • (3²)¹⁰ : (3⁴)¹¹
= 3²⁷ • 3²⁰ : 3⁴⁴
= 3⁴⁷ : 3⁴⁴
= 3³
exercițiu 19
a) 105⁵ : 35⁵ = ( 105 : 35 )⁵
= 3⁵
b) (2²¹ • 5²¹) : 10²¹ = (2 • 5 )²¹ : 10²¹
= 10²¹ : 10²¹
= 10⁰ = 1
c) 6⁸ : (2⁸ • 3⁸) = 6⁸ : (2 • 3 )⁸
= 6⁸ : 6⁸
= 6⁰ = 1
d) 85³ : 17³ = ( 85 : 17 )³
= 5³
e) ( 3¹⁷ • 4¹⁷ • 5¹⁷ ) : 60¹⁶ = ( 3 • 4 • 5 )¹⁷ : 60¹⁶
= 60¹⁷ : 60¹⁶
=60¹ = 60
f) 42¹⁰ : ( 2¹⁰ • 3¹⁰ • 7¹⁰ ) = 42¹⁰: ( 2 • 3 • 7)¹⁰
= 42¹⁰ : 42¹⁰
= 42⁰ = 1