SOLUTION: How do i show the formula (a+b)^7 = a^7 + b^7 in clock 7

Question 27144: How do i show the formula (a+b)^7 = a^7 + b^7 in clock 7
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
(a+b)^7 = a^7 + b^7 in clock 7
IN CLOCK 7 THE NUMBERS REPEAT CHANGE DIGITS AFTER 7
THAT IS 12=5(MOD7)...NUMBER TWELVE WILL BE REPRESENTED BY 5 THE REMAINDER AFTER DIVIDING 12 BY 7.
LET A=X(MOD7)......................I
AND B=Y(MOD7).......................II.......WHERE X AND Y ARE LESS THAN 7.
A+B=(X+Y)(MOD7).............FROM I+II
(A+B)^7={(X+Y)+(X+Y)+....7 TIMES}(MOD7)=7(X+Y)(MOD7)=(X+Y)(MOD7)............III
A^7=(X+X+X...7 TIMES)(MOD7)=(7X)(MOD7)=X(MOD7)......FROMM I ................IV
SIMILARLY..B^7=Y(M0D7).............FROM II..................................V
ADDING IV AND V WE GET
A^Y+B^7=X(M0D7)+Y(MOD7)=(X+Y)(MOD7).................................VI
HENCE FROM III AND VI WE GET
(a+b)^7 = a^7 + b^7 in clock 7

RELATED QUESTIONS
how do i solve this problem b(a-7)-3(7-a)= all i done so far is: b(a-7)+3(a-7)... (answered by checkley71)

Molly receives a $25 dollar gift card to her favorite movie theater. It costs $6.50 for... (answered by macston)

How do you write a recursive formula for the sequence 1/7, 22/7, 43/7, 64/7,...?... (answered by Mathtut)

Two cars are placed in different cities A and B. The car of A starts its journey in 7... (answered by ankor@dixie-net.com)

How do I write 7 times the difference of a and b. (answered by drk)

how do i solve: (x+7)(x-6)(x-8)<= 0 the answer choices are a) x<= -7 or 6<=x<=8 b) x<= (answered by oscargut)

MAT 145: Topics In Contemporary Math Modular Arithmetic Find the... (answered by Alan3354)

7(a+b)-a+b (answered by ikleyn)

how do i find the midpoint between a and b when a is (-1,5) and b is... (answered by Alan3354)