Question

Calculaţi:
a) 10⁶⁰ : (2×5)⁵⁸
b) (7¹⁴×5)²: 7²⁶
c) (7⁶)⁸: 49²⁴
d) (3⁴)⁹: (9⁶)³
e) (11²⁰¹¹×4¹⁰⁰⁵): [(22²)⁵] ²⁰¹
f) 2²³:2²¹:2+3³²:3³¹×3
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Answer 1

Răspuns:

a) 10⁶⁰ : ( 2 × 5 )⁵⁸ = 10⁶⁰ : 10⁵⁸ = 10²

b) ( 7¹⁴ × 5)² : 7²⁶ = (7¹⁴)² × 5² : 7²⁶

= 7²⁸ × 5² : 7²⁶

= 7² × 5²

c) (7⁶)⁸ : 49²⁴ = 7⁴⁸ : (7²)²⁴ = 7⁴⁸:7⁴⁸ = 7⁰ = 1

d) (3⁴)⁹ : (9⁶)³ = 3³⁶ : 9¹⁸ = 3³⁶ : (3²)¹⁸ = 3³⁶ : 3³⁶ =3⁰=1

f) 2²³ : 2²¹ : 2 + 3³² : 3³¹ × 3 = 11

2¹ + 3¹ × 3 = 2 + 3² = 2 + 9 = 11