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

Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
A soccer player is training during pre-season. His trainer tells him toincrease his calorie intake to 3,475 calories per day. How many caloriesdoes the football
Which law or principle does the diagram represent?
Consider this cylinder with the given base area and height measures. Use the formula to calculate the volume. What is the volume of the cylinder? 2 Cylinder V=B
do you think civil disobedience is effective? Why or why not?
What is the value of x in the equation -2.4x = 8.4? -20.16 -3.5 3.5 20.16
ILL GIVE A BRAINLIEST !!! The foci and the vertices of the hyperbola are labeled. Which equation represents the hyperbola shown in the graph?
¿Cual es la composición del plástico?
Imagine an economy without banks. Would it be more or less difficult for people to reach their financial goals?
Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21comic books. What is the ratio of sci-fi novels t