Question

Prove that 5^7+5^6 is divisible by 6.
Answer: 5^7+5^6=__ *6

Answer 1

15625

Explanation:

5^7=78125

5^6=15625

78125+15625=93750

93750÷6=15625

6×15625=93750

93759=93750

so, the answer is 15625.

Answer 2

• 5^7 + 5^6 = 5^6 * 6

Explanation:

Rewrite the given expression:

• 5^7+5^6 =
• 5^(6 + 1) + 5^6 =
• 5*5^6 + 5^6 =
• (5 + 1)*5^6 =
• 6*5^6

The number has 6 as a factor and therefore is divisible by 6