Remainder when 7^103 is divided by 24 , Mathematics

Assignment Help:

Find the remainder when 7^103 is divided by 24

Solution) we know by the concept of mod that.....

49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is divisible by 24)

so 7^2congruent to 1 mod 24

so 7^102congruent to 1 mod 24(raising to the power 51)

hence the remainder when 7^102 is divided by 24 is 1 i.e. 7^102=24m+1

so multipling by 7 both sides we have....7^103=24.7m+ 7

hence 7^103=24n + 7

so remainder is 7 (ans)

Related Discussions:- Remainder when 7^103 is divided by 24

Quistins, define even and odd function state whether given function are eve...

define even and odd function state whether given function are even odd or neither 1 f x =sin x cos x 2 f x {x}=x +x3n #Minimum 100 words accepted#

Differential equation, Cos(x+y)+sin(x+y)=dy/dx(solve this differential equa...

Cos(x+y)+sin(x+y)=dy/dx(solve this differential equation)

Precalulus, Solve the equation for exact solutions over the interval [o,2Pi...

Solve the equation for exact solutions over the interval [o,2Pi] 2 sec x + 1 = sec x + 3 Some one please help!!!

SHARES AND DIVIDEND, BROKARAGE.

BROKARAGE.

Relation between hieght, volume=(1/3)(pi)(radius of base)2(height) curved ...

volume=(1/3)(pi)(radius of base)2(height) curved surface area=(pi)(r)(l), r is radius of base and l is length of straight line connecting apex of cone with point on edge of base

Factorization & Completing square, 4/x+4-3/x+3=2/x+2-1/x+1

4/x+4-3/x+3=2/x+2-1/x+1

Markov chains or processes, What is Markov Chains or Processes?

What is Markov Chains or Processes?

Evaluate numerator and denominator limit, Evaluate following limits. ...

Evaluate following limits. Solution : Let's do the first limit & in this case it sees like we will factor a z 3 out of the numerator and denominator both. Remember that

Algebra 2 of 2, 5a^2b^2-5ab(6)

5a^2b^2-5ab(6)

Numerical method, find the newton raphson iterative formula for a reciproca...

find the newton raphson iterative formula for a reciprocal of a number N and hence find the value of 1/23

Write Your Message!

Name

Email id

Message

Verfication Code

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

User Account

All Pages