Question
Download Solution PDFWhat is the unit place digit in the expansion of 773?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
71 = 7 ⇒ unit digit = 7
72 = 49 ⇒ unit digit = 9
73 = 343 ⇒ unit digit = 3
74 = 2401 ⇒ unit digit = 1
The unit digit pattern is 7, 9, 3, 1, 7, 9, 3, 1.........
Now
773 = 772 × 7
773 = (74)18 × 7
773 = (2401)18 × 7
∴The digit in the unit place is 7.
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