Find the remainder when 19 raised to the power 200 is divided by 20.

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We need to find the remainder when 19^200 is divided by 20.

Step 1: Note that 19 ≡ -1 (mod 20) because 19 is 1 less than 20.

Step 2: Therefore, 19^200 ≡ (-1)^200 (mod 20).

Step 3: Since 200 is even, (-1)^200 = 1.

Step 4: Hence, 19^200 ≡ 1 (mod 20).

So, the remainder when 19^200 is divided by 20 is 1.

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