Answer:
5^7+5^6 = 93750
93750/6 = 15625
Hence 5^7+5^6 is divisible by 6.
Step-by-step explanation:
Rule of divisibility of 6 states that number should be divisible by 2 as well as 3. Then the number 5⁷ + 5⁶ is divisible by 6.
The division means the separation of something into different parts, sharing of something among different people, places, etc.
The number is 5⁷ + 5⁶.
On simplifying, we have
5⁷ + 5⁶ = 78125 + 15625 = 92750
Rule of divisibility of 6.
First, the number should be divisible by two. then we have the number
[tex]\dfrac{92750}{2} = 46875[/tex]
And the resultant number should be divisible by three. Then we have
[tex]\dfrac{46875}{3} = 15625[/tex]
Then the number 5⁷ + 5⁶ is divisible by 6.
More about the division link is given below.
https://brainly.com/question/369266
