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

Market orientation, what is market orientation? what is the importance of ...

what is market orientation? what is the importance of market orientation?what are its implementation?

Radius of convergence - sequences and series, Radius of Convergence We ...

Radius of Convergence We will be capable to illustrate that there is a number R so that the power series will converge for, |x - a| R. This number is known as the radius of

Curvature - three dimensional space, Curvature - Three Dimensional Space ...

Curvature - Three Dimensional Space In this part we want to briefly discuss the curvature of a smooth curve (remind that for a smooth curve we require → r′ (t) is continuou

NOWA method, solve the equation 540+115 using the NOWA method

solve the equation 540+115 using the NOWA method

Can you explain slope, Can you explain slope and Slope is measured as rise/...

Can you explain slope and Slope is measured as rise/run?

Sqares, Recently I had an insight regarding the difference between squares ...

Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following: x + (x+1)

Solving two step equations, how do you solve 45 = n/5 = 5

how do you solve 45 = n/5 = 5

Probability, I have a question that hurts my head to work out. It is really...

I have a question that hurts my head to work out. It is really confusing for me. It sais " By the start of the 21st century, only 1 in 6 babies in America was born with blue eyes.

Equation, how to slove problems on equations

how to slove problems on equations

Compound interest, some experts estimate that the cost of education in the ...

some experts estimate that the cost of education in the US increases by 6% p.a. An Ivy League college currently costs $24,502 for one year''s study today. Using compound interest r

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