Question
Download Solution PDFWhat is the digit in the units place of the number 12547151?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number = 12547
Exponent = 151
Formula Used:
The units digit of ab depends on the cyclicity (repeating pattern) of the units digit of a .
Calculation:
Units digit of 12547 = 7
Cyclicity of 7n: 7, 9, 3, 1 (repeats every 4 terms)
Exponent = 151
To find the position in the cycle, calculate the remainder when the exponent is divided by 4:
151 ÷ 4
⇒ Remainder = 3
From the cyclicity, the 3rd term corresponds to the units digit = 3.
The digit in the units place of 12547151 is 3.
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