Math, asked by bhavya0918, 1 year ago

when 23²³ is divided by 53 what is the reminder

Answers

Answered by Mantisa
2
Easy
23×23=529
529÷53=9.98

bhavya0918: why 23 is multiplied by 23 ???
bhavya0918: according to the question 23 should be multiplied 23 times na bcoz it is its power
cpadith: this answer is wrong
cpadith: 23^23. .....means....23 should be multiplied 23 times
Mantisa: Ohhhh .....but anyway thanks for correcting.Actually I am new here and I dont know much
Answered by cpadith
1
23^23= 2.088 x 10^31
dividing it by 53 gives ans: 3.94 x 10^29
which has no reminder .
so reminder = 0

cpadith: use binomial expantion to solve
Mantisa: yeah..... actually there is
cpadith: ie, 23 x (23^22)= 23* (529^11) = 23 x( (530-1)^11)
cpadith: so when divided by 53
cpadith: 23 × (-1)^23 = -23
cpadith: negative reminder to get orginal reminder add 53
cpadith: ie, 53-23 = 30
cpadith: is the reminder
cpadith: sorry for wrong answer
bhavya0918: thank you so much
Similar questions