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

Binomial theorem, find middle term [2a-a2/4]9

find middle term [2a-a2/4]9

Statistics, How do I choose a distribution test for a sample size of 60? Pr...

How do I choose a distribution test for a sample size of 60? Probability of rolling a 4 on a six sided die.

Marketing management , Draw the typical profile(s) of Shoppers'' Stop custo...

Draw the typical profile(s) of Shoppers'' Stop customers segments.

Word problem, A computer is programmed to scan the digits of the counting n...

A computer is programmed to scan the digits of the counting numbers.For example,if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits all together. If the comput

Apply depth-first-search to find out the spanning tree, Apply depth-first-s...

Apply depth-first-search to find out the spanning tree for the subsequent graph with vertex d as the starting vertex. Ans: Let us begin with node'd'. Mark d as vi

Formulas, how many formulas there for the (a-b)2

how many formulas there for the (a-b)2

Matrix, matrix of [1 4 ] [a b]=4/9

matrix of [1 4 ] [a b]=4/9

Why x and y are simplifying expressions, Why x and y are Simplifying Expres...

Why x and y are Simplifying Expressions? You're doing algebra now, and you know you're going to see x's and y's. But before we work with x's and y's, we'll explore why we use t

Devide polynomials, what is the quotient of 20x to the power of 2 y-16x y t...

what is the quotient of 20x to the power of 2 y-16x y to the power of 2+ 8xy and -8xy

Solving math problems to the second power, -10b2*-5b2=

-10b2*-5b2=

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