theanimalside
theanimalside theanimalside
  • 23-01-2017
  • Mathematics
contestada

Prove the divisibility of the following numbers: 7^6+7^5−7^4 by 11

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-01-2017
[tex]7^6+7^5-7^4=7^4(7^2+7-1)=7^4(49+7-1)=7^4\times55[/tex]

Since [tex]11|55[/tex], it follows that [tex]11|7^6+7^5-7^4[/tex].
Answer Link
gamingbeast015 gamingbeast015
  • 07-03-2021

Answer:

7^4 * 5

Step-by-step explanation:

7^6+7^5-7^4 = 7^4(7^2+7-1) = 7^4(55), 55/5 = 11, 7^4 * 5 = 55/5, 7^4 * 5 by 11

Answer Link

Otras preguntas

Is this a thesis statement? Although Jonas Salk invented the polio vaccine, it is Albert Sabin, creator of a safer and cheaper version of the vaccine, who dese
could i get some help? just a small list would be helpful
How much more is 8 3/4 than 1 1/4?
The owner of a small store buys coats for $40.00 each .she sells the coats for $7200 each. What percent of the purchase price is the sale price? The owner incre
With eating habits being formed at a young age, these habits are usually influenced by friends parents siblings teachers
Anybody know the answer?
Original DNA CAT GAT New DNA CAT AT What mutation occurred? substitution tranverse insertion deletion
A spring has a length of 0.200 m when a 0.300-kg mass hangs from it, and a length of 0.750 m when a 1.95-kg mass hangs from it. (a) What is the force constant o
Free Speech Regulated on Social Media pros and cons
I have no idea what I'm doing​