Question

11. Calculează dând rezultatul sub formă de putere: a)5¹⁷:5⁹= b)3²¹:3¹⁸= c)2³⁴:2³⁰= d)4¹⁵:2²⁶= e)25⁸:125⁵= f)16⁹:8¹²=.

Answer 1

Răspuns:

a)5¹⁷:5⁹=5⁸

b)3²¹:3¹⁸= 3³

c)2³⁴:2³⁰= 2⁴

d)4¹⁵:2²⁶= (2²)¹⁵:2²⁶=2³⁰:2²⁶=2⁴

e)25⁸:125⁵=(5²)⁸:(5³)⁵=5¹⁶:5¹⁵=5¹

f)16⁹:8¹²=(2⁴)⁹:(2³)¹²=2³⁶:2:³⁶=2⁰

Answer 2

Răspuns:

a)5¹⁷:5⁹= 5¹⁷⁻⁹=5⁸

b)3²¹:3¹⁸= 3²¹⁻¹⁸=3³

c)2³⁴:2³⁰= 2³⁴⁻³⁰=2⁴

d)4¹⁵:2²⁶= (2²)¹⁵:2²⁶=2³⁰⁻²⁶=2⁴

e)25⁸:125⁵= (5²)⁸:(5³)⁵=5¹⁶⁻¹⁵=5¹

f)16⁹:8¹²=(2⁴)⁹:(2³)¹²=2³⁶⁻³⁶=2⁰