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anonymous
 one year ago
Please help me I really need help....
anonymous
 one year ago
Please help me I really need help....

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[m= 10^{32}+2\] When m is divided by 11, the remainder is r Which one is greater or are they equal. Quantity A: r Quantity B: 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[10^2 \mod 11 =1009(11)=1 \\ 10^{2 \cdot 16 } \mod 11 \equiv (10^2)^{16} \mod 11 \equiv ...\] I'm just using the repeated squares method to find what 10^(32) divided by 11 is

freckles
 one year ago
Best ResponseYou've already chosen the best response.1do you think you can finish this method

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answer says something about finding a pattern in this: dw:1437431905761:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.1well basically a mod n gives us the remainder for when a is divided by n

freckles
 one year ago
Best ResponseYou've already chosen the best response.1but there are lots of method to help us solve the above but if you don't know mod then it likely you don't know methods such as the repeated squares method

freckles
 one year ago
Best ResponseYou've already chosen the best response.1ok so you want to see if you can a pattern in the remainders above well 10+2 is 12 what is the remainder of 12 divided by 11 ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437432052883:dw ok let's continue what is the remainder of 10^4+1 when it is divided by 11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OHHHHHH okay so it'll be 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437432204940:dw so the pattern seems to be alternating between 1 and 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so notice the odd exponents on the 10 gave us 1 and the even exponents on the 10 gave us 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so 10^(32)+2 mod 11 is 3 and since you don't know mod \[\text{ remainder of } \frac{10^{32}+2}{11} \text{ is } 3 \]
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