Bonjour, Prouver que 32 exposant 16 = 16 exposant 20 ?

32 exposant 16 = 16 exposant 20

32^16 = 16^20

( 2*2*2*2*2)^ = (2*2*2*2)^20

(2^5)^16 = ( 2^4)^20

2^(5*16) = 2^(4*20)

2^80 = 2^80

Bonjour,

32¹⁶=(2×2×2×2×2)¹⁶

32¹⁶=(2⁵)¹⁶

32¹⁶=2⁸⁰

32¹⁶=(2⁴)²⁰

32¹⁶=16²⁰⇒CQFD