bluemoosemoomo
bluemoosemoomo bluemoosemoomo
  • 22-03-2022
  • Mathematics
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Prove that 5^7 + 5^6 is divisible by 6

5^7 + 5^6 = __ • 6

Prove that 57 56 is divisible by 6 57 56 6 class=

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xenia168
xenia168 xenia168
  • 22-03-2022

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

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chibabykalu16
chibabykalu16 chibabykalu16
  • 22-03-2022

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

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