Răspuns: Ai demonstrația mai jos
Explicație pas cu pas:
Salutare
[tex]\bf 1^{3} = 1[/tex]
[tex]\bf 2^{3} = 8[/tex]
[tex]\bf 3^{3} = 27[/tex]
[tex]\bf 4^{3} = 64[/tex]
[tex]\bf~~~~~[/tex]
[tex]\it~~[/tex][tex]\color{red}\boxed{\boxed{\bf Formula: (a^{n})^{b} = a^{n \cdot b} ~~sau~~ a^{n \cdot b} =(a^{n})^{b}}}[/tex]
[tex]\bf~~~~~[/tex]
[tex]\bf 100^{6p+1}= (1^{3})^{6p+1}+ (2^{3})^{6p+1}+ (3^{3})^{6p+1}+ (4^{3})^{6p+1}[/tex]
[tex]\bf 100^{6p+1}= (1^{6p+1})^{3}+ (2^{6p+1})^{3}+ (3^{6p+1})^{3}+ (4^{6p+1})^{3}\longrightarrow suma~de ~4~cuburi[/tex]
Bafta multa!
#copaceibrainly
