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

Simplifying fractoins, 3/45

3/45

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

How many people are usual to vote for mr salva on survey, The Daily News re...

The Daily News reported that 54% of people surveyed said in which they would vote for Larry Salva for mayor. Based on the survey results, if 23,500 people vote in the election, how

PARCC Practice Book, Ask question #Minimum 100 words acceptThe top of Kevi...

Ask question #Minimum 100 words acceptThe top of Kevin''s dining room table is 4 feet long, and 3 feet wide. Kevin wants to cover the middle of the table with tiles. He plans to le

Complex roots - second order differential equations, We will be looking at ...

We will be looking at solutions to the differential equation, in this section ay′′ + by′ + cy = 0 Wherein roots of the characteristic equation, ar 2 + br + c = 0 Those

NCCER, what is 9/16 Divided by 7/8

what is 9/16 Divided by 7/8

Important points about the alternating series test, Important Points About ...

Important Points About the Alternating Series Test There are a several things to note about this test. Very first, unlike the Integral Test and the Comparison or Limit Compari

Determine the properties and query are definable in datalog, We now focus o...

We now focus on the use of Datalog for defining properties and queries m graphs. (a) Suppose that P is some property of graphs definable in Datalog. Show drat P is preserved und

Dynamath, The canister of the nerf super soaker washout holds 22 ounces of ...

The canister of the nerf super soaker washout holds 22 ounces of water. say you use 1/2 of the water. how much water is left in the canister

Convert units, 32gal/min = qt/hr

32gal/min = qt/hr

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