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

Core concepts, define marketing and show its core concepts

define marketing and show its core concepts

Differentiation, how to write assignment of the application of differentiat...

how to write assignment of the application of differentiation in science

Standard deviation, i need to work out the standard deviation of 21.4

i need to work out the standard deviation of 21.4

Solving decimal equations, The distance around a square photograph is 12.8 ...

The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

Full asymptotic expansion , Consider the integral where the notatio...

Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri

Inverse function, how to solve the equation of an inverse function

how to solve the equation of an inverse function

Decimals, which one of the following examples represents a repeating decima...

which one of the following examples represents a repeating decimal? 0.123123,1.111114,0.777777,4.252525?

first person drawn was named the class president, Consider a class of 55 s...

Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi

2 step equations, What is a two step equation that equals 8 ?

What is a two step equation that equals 8 ?

Rational expressions, Now we have to look at rational expressions. A ration...

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials. Here are some examples of rational e

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