Prove that 5^7 + 5^6 is divisible by 6
5^7 + 5^6 = __ • 6

Answer:
Step-by-step explanation:
[tex]5^{7}[/tex] + [tex]5^{6}[/tex] = 5 × [tex]5^{6}[/tex] + [tex]5^{6}[/tex] = [tex]5^{6}[/tex] ( 5 + 1 ) = [tex]5^{6}[/tex] · 6
Hey there!
[tex] -› \: {5}^{7} + {5}^{6} [/tex]
[tex]-› 78,125 + 15,625[/tex]
[tex]-› \: 93750[/tex]
[tex]-› \: 93750 \div 6[/tex]
[tex]-› \: 15625[/tex]
Therefore, It's divisible by 6