Step 1: Understanding the Concept:
The unit digit of the result of a power depends only on the unit digit of the base number.
Step 2: Key Formula or Approach:
To find the unit digit of , we only need to consider the unit digit of the base, which is 7. We then need to find the unit digit of .
Step 3: Detailed Explanation:
The base of the number is 37. The unit digit of 37 is 7.
The expression is , which is .
The unit digit of the result will be the unit digit of the product of the unit digits of the numbers being multiplied.
Unit digit of = Unit digit of .
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The unit digit of 49 is 9.
Step 4: Final Answer:
The unit place digit of the number is 9.