Question

Scrieți sub formă de putere rezultatul calculului: a) (2⁴)³×4⁶:8⁵ b) 3⁷×3⁸×3⁹:(3⁵)⁴ c) (7¹²)⁵:7¹⁶:49⁵ d) (5⁴)⁷×25⁵:5³⁰ e) 2¹⁹×8¹⁰:4¹¹:2²⁰ f) 9¹⁶:3³×3¹¹:27⁵​

Answer 1

a) (2⁴)³×4⁶:8⁵ = 2¹² × (2²)⁶ : (2³)⁵

= 2¹²×2¹²:2¹⁵

= 2²⁴: 2¹⁵

= 2⁹

b) 3⁷×3⁸×3⁹:(3⁵)⁴ = 3²⁴ : 3²⁰

= 3²⁴ : 3²⁰

= 3⁴

c) (7¹²)⁵ : 7¹⁶ : 49⁵ = 7⁶⁰ : 7¹⁶ : ( 7²)⁵

= 7⁶⁰ : 7¹⁶ : 7¹⁰

= 7³⁴

d) (5⁴)⁷×25⁵:5³⁰ = 5²⁸ × (5²)⁵ : 5³⁰

= 5²⁸ × 5¹⁰ : 5³⁰

= 5³⁸:5³⁰

= 5⁸

e) 2¹⁹×8¹⁰:4¹¹:2²⁰ = 2¹⁹×(2³)¹⁰:(2²)¹¹:2²⁰

= 2¹⁹×2³⁰:2²²:2²⁰

= 2⁴⁹:2²²:2²⁰

= 2²⁷:2²⁰

= 2⁷