Asked by Cam
What is the remainder when 13 to the 51st power is divided by 5?
Answers
Answered by
MathMate
13<sup>1</sup> mod 5 =13 mod 5 = 3
13<sup>2</sup>=169 mod 5 = 4
13<sup>3</sup>=2197 mod 5 = 2
13<sup>4</sup>=28561 mod 5 = 1
13<sup>5</sup>=371293 mod 5 = 3
13<sup>6</sup>=4826809 mod 5 = 4
13<sup>7</sup>=62748517 mod 5 = 2
13<sup>8</sup>=815730721 mod 5 = 1
....
13<sup>48</sup> mod 5 = 1
13<sup>49</sup> mod 5 = 3
13<sup>50</sup> mod 5 = 4
13<sup>51</sup> mod 5 = ?
Note:
13^51=647307989872865201422284359961937038113215496061434545237
13<sup>2</sup>=169 mod 5 = 4
13<sup>3</sup>=2197 mod 5 = 2
13<sup>4</sup>=28561 mod 5 = 1
13<sup>5</sup>=371293 mod 5 = 3
13<sup>6</sup>=4826809 mod 5 = 4
13<sup>7</sup>=62748517 mod 5 = 2
13<sup>8</sup>=815730721 mod 5 = 1
....
13<sup>48</sup> mod 5 = 1
13<sup>49</sup> mod 5 = 3
13<sup>50</sup> mod 5 = 4
13<sup>51</sup> mod 5 = ?
Note:
13^51=647307989872865201422284359961937038113215496061434545237
Answered by
dave
yolo
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.