linarut linarut
  • 14-04-2018
  • Mathematics
contestada

Prove the divisibility of the following numbers by 7
[tex]5 {}^{5} - 5 {}^{4} + 5 {} {}^{3} \: [/tex]

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-04-2018
5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6

3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.
Answer Link

Otras preguntas

What is 3.82 rounded to the nearest whole number
Alejandra has five hair ribbons measuring 8,13,11,9, and 13 inches long what is the median length of the ribbons
Theo bought these items shoes that cost $19.99 socks that cost $ 4.19, a shirt that costs $ 8.50 and pants that cost $27.75. how can he estimate the total cost
Any help with this problem? X/5-g=a for x
What is the estimate for 200,629+28,542
what is a common noun for south america
one hundred eighty is equal to how many tens
how do you write 35.2 in word form?
who can help me with quantitative observation examples
what is the 29th sequence in the triangular number sequence a.k.a the pascals sequence