catita5 catita5
  • 25-07-2020
  • Mathematics
contestada

El resultado de \(2^{40}+2^{39}+2^{36}\) es divisible por i) 8 ii) 10 iii) 100

Respuesta :

jimthompson5910 jimthompson5910
  • 25-07-2020

Answer:  8

Explanation:

We can factor out 8 like so

2^40 + 2^39 + 2^36 = 2^3*2^37 + 2^3*2^36 + 2^3*2^33

2^40 + 2^39 + 2^36 = 2^3*(2^37 + 2^36 + 2^33)

2^40 + 2^39 + 2^36 = 8*(2^37 + 2^36 + 2^33)

Showing that 8 is a factor of 2^40 + 2^39 + 2^36

In other words, 2^40 + 2^39 + 2^36 is divisible by 8

Answer Link

Otras preguntas

How do you tell if a reaction is endothermic or exothermic using only the written formula
A 30.00 mL solution of 0.100M benzoic acid, a monoprotic acid, is titrated with 0.100M NaOH. The Ka is 6.3x10^-5. Determine the pH of the solution after the vol
what is a word phrase for the expression r-31
the length of a tennis court is 78 feet. this is 3 less than 3 times the width of the court. what is the width of the court
Has colored salts that will produce colored aqueous solutions a. F b. Li c. Fe d. He e. Si
solve using logs 5^(3x-6)=125
What is 451.568 rounded to the tenths place.
Which of the following is equiangular and equilateral?A. rhombusB. squareC. rectangleD. parallelogram
A 30.00 mL solution of 0.100M benzoic acid, a monoprotic acid, is titrated with 0.100M NaOH. The Ka is 6.3x10^-5. Determine the pH of the solution after the vol
What does a plant let out during photosynthesis?