the unit digit of (634)² will be
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Q. The unit digit of (634)²⁶² + (634)²⁶³ will be
A. Given, (634)²⁶² + (634)²⁶³
➙ (634)²⁶² (1 + 634)
➙ (634)²⁶² × 635
➙ The unit digit of (634)²⁶² × 635 = The unit digit of (4²⁶² × 5)
We know that,
- The unit digit of 4 to the power of any odd number is 4 and the unit digit of 4 to the power of any even number is 6.
★ The unit digit of (4²⁶² × 5) = The unit digit of (6 × 5)
➙ The unit digit of (6 × 5) = 0
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Answer:
The unit digit of (634)²⁶² + (634)²⁶³ will be
A. Given, (634)²⁶² + (634)²⁶³
➙ (634)²⁶² (1 + 634)
➙ (634)²⁶² × 635
➙ The unit digit of (634)²⁶² × 635 = The unit digit of (4²⁶² × 5)
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