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The remainder when (3)^671 is divided by...

The remainder when `(3)^671` is divided by 80 :

A

0

B

1

C

27

D

can't be determined

Text Solution

AI Generated Solution

To find the remainder when \( 3^{671} \) is divided by 80, we can use properties of modular arithmetic and the Chinese Remainder Theorem. ### Step 1: Find \( 3^{671} \mod 16 \) First, we will compute \( 3^{671} \mod 16 \). Using Euler's theorem, since \( \phi(16) = 8 \) (where \( \phi \) is the Euler's totient function), we have: \[ 3^8 \equiv 1 \mod 16 ...
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