sprjeyaraman
sprjeyaraman sprjeyaraman
  • 18-08-2021
  • Mathematics
contestada

7 4K ≡ ________________ (mod 100 )
(a ) 4
(b ) 2
(c) 3
( d ) 1​

Respuesta :

guyshimshon guyshimshon
  • 18-08-2021
Not sure 74k is 74000 so mod 100 gives to digits from the right. So answer is 0.
Or it’s 7^4 = 2,401 so answer is 1.
Please check the question again
Answer Link
LammettHash
LammettHash LammettHash
  • 18-08-2021

I assume you're asked to find [tex]7^{4k}\pmod{100}[/tex] for positive integer k. To start, notice that

[tex]7^4 \equiv 7^3\times7 \equiv 343\times7 \equiv 43\times7 \equiv 301 \equiv 1\pmod{100}[/tex]

Then for every k, we have

[tex]7^{4k} \equiv (7^4)^k \equiv 1^k \equiv 1 \pmod{100}[/tex]

Answer Link

Otras preguntas

How is American literature of the seventeenth and eighteenth centuries different from the literature written in Britain? A. It includes poetry and prose. B. It
what is the whole number to make statement true ? ÷7 >800
Compared with the US Constitution, how difficult is it to amend state constitutions?
which answer is same as 5.32×10^5
1,522,968 in word form
Factor 8a^2-2a^2 form of the polynomial ????
Noah has set some goals for his fitness. He decided to start a weightlifting routine that consists of lifting weights for one hour three days a week. What area
The perimeter p of a rectangle is given by the formula p=2L+2w, where L is the length of the rectangle and w is the width. Which is the perimeter formula solved
Round place value of 2 in 234,890
what is the fractional equivalent of 0.2666