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

Calculate probabilities, Iran is trying to decide whether it should pursue ...

Iran is trying to decide whether it should pursue its nuclear weapons program, and its decision will be affected in large measure by what it expects the United States to do. Your a

Example of multiplication of complex numbers, Multiply following and write ...

Multiply following and write the answers in standard form.  (a) 7 i ( -5 + 2 i )  (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu

Power series and functions - sequences and series, Power Series and Functio...

Power Series and Functions We opened the previous section by saying that we were going to start thinking about applications of series and after that promptly spent the section

Fractions, a boy is six months old his sister was given birth to three mont...

a boy is six months old his sister was given birth to three month after him. if their cousin is 0.33years old, arrange their ages in ascending order

Set, What is the definition of Set?

What is the definition of Set?

Listing method, how will you explain the listing method?

how will you explain the listing method?

#algebra 2 .., encoded with the matrix -3 -7 and 4 9. what lights up a socc...

encoded with the matrix -3 -7 and 4 9. what lights up a soccer stadium? ecoded message: {-3 - 7} {3 2 } {3 6} {57 127} {52 127} {77 173} {23 51)

Write Your Message!

Captcha
Free Assignment Quote

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd