What is the remainder when \(5^{90}\) is divided by 124?
A. 25
B. 5
C. 1
D. 0
A. 25
B. 5
C. 1
D. 0
Best answer
Answer: C. 1
Answer: (C) 1
Notice 124 = 125 − 1 = \(5^3 - 1\), so \(5^3\) leaves remainder 1.
\(5^{90} = (5^3)^{30}\) leaves remainder \(1^{30}\) = 1.
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