Question

Comparati puterile: 8 la puterea 5 si 4 la puterea 6, 9 la puterea 3 si 3 la puterea 6, 16 la puterea 7 si 32 la puterea 5, 25 la puterea 5 si 5 la puterea 10.

Answer 1

8⁵ si 4⁶

8⁵ = ( 2³ ) ⁵ = 2 ³ ˣ ⁵ = 2¹⁵

4⁶ = ( 2² ) ⁶ = 2 ²ˣ ⁶ = 2¹²

2 ¹⁵  >   2 ¹² == >   8⁵  >   4⁶

__________________________

9³  si 3⁶

9³ = ( 3² )³ = 3 ² ˣ ³ = 3⁶

3⁶ = 3⁶ ==>   9³ = 3⁶

________________________

16⁷ si 32⁵ = ( 2⁴ )⁷ = 2²⁸

32⁵ = ( 2⁵ )⁵ = 2²⁵

2²⁸  >   2²⁵ == >   16⁷  >   32⁵

________________________

25⁵  si 5¹⁰

25⁵ = ( 5² )⁵ = 5¹⁰

5¹⁰ = 5¹⁰ == >    25⁵ = 5¹⁰