prishab2008 prishab2008
  • 04-02-2021
  • Mathematics
contestada

Prove that:
7^16+7^
14 is divisible by 50.

Prove that 7167 14 is divisible by 50 class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 04-02-2021

Answer:

See Explanation

Answer: [tex] \boxed{ {7}^{14}} .50[/tex]

Step-by-step explanation:

[tex]{7}^{16} + {7}^{14} \\ \\ = {7}^{14} ( {7}^{2} + 1) \\ \\ = {7}^{14} (49 + 1) \\ \\ = {7}^{14}.50[/tex]

Since, one factor of [tex] {7}^{16}+ {7}^{14}[/tex] is 50.

Therefore, [tex] {7}^{16}+ {7}^{14}[/tex] is divisible by 50.

Hence proved.

Answer Link

Otras preguntas

The ratio of girls to boys in class is 9 to 7 and there are 80 students in the class. how many girls are in the class?
The shorter leg is??????????
Microminiature components need to be larger than average. True False
Which action would most likely cause the equal employment opportunity commission to intervene
Signal transduction is part of a cell\'s response to an external signal. although signal transduction pathways can differ in their details, there are some commo
Cuando Juan estaba ___________ al actor, otro reportero le hizo una pregunta. A. entrevistó B. entrevistaste C. entrevistando D. entrevistaba
Rafaela is a physical education teacher and has 25 girls and 35 boys in her class. She wants to divide the class into teams of the same size, where each team ha
need an answer for this pls its mult choice
Is "y=-0.00635x^2+4.0005x" in the correct form to be a Parabola
In early 1998, the unemployment rate in eastern germany was _______.