What is the unit digit in 189^723?A] 7                             B] 9                             C] 1                 D] 3Options :ABCD

Question

What is the unit digit in 189^723?A] 7                             B] 9                             C] 1                 D] 3Options :ABCD
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Solution 1

The unit digit of a number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 189 ends in 9. The digits 0, 1, 5, and 6 always have the same unit digit when raised to a power. The digits 2, 3, 7, and 8 have a cyclicity of 4, and the digits 4 and 9 have a cyclic Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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