Home
Class 11
MATHS
If 25^(15) is divided by 13, then the re...

If `25^(15)` is divided by 13, then the remainder is .....

Text Solution

AI Generated Solution

To find the remainder when \( 25^{15} \) is divided by 13, we can follow these steps: ### Step 1: Rewrite the base We start by rewriting \( 25 \) in terms of \( 13 \): \[ 25 \equiv 12 \mod 13 \] This means that \( 25^{15} \equiv 12^{15} \mod 13 \). ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT EXEMPLAR ENGLISH|Exercise True/False|7 Videos
  • BINOMIAL THEOREM

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer type question|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

If 5^(99) is divided by 13, the remainder is

If x^(51) +51 is divided by x+1 , then the remainder is

If (27)^999 is divided by 7, then the remainder is .

If 13^99-19^93 is divided by 162, then the remainder is

If 7^(103) is divided by 25 , find the remainder .

If 3^(101)-2^(100) is divided by 11, the remainder is

If 53^(53)-33^(3) is divided by 10, then the remainder obtained is

If 2^(2020)+2021 is divided by 9, then the remainder obtained is

If the polynomial x^(19) + x^(17) +x^(13) +x^(11) +x^(7) +x^(4) +x^(3) is divided by (x^(2)+1) , then the remainder is

7^(103) when divided by 25 leaves the remainder .