Question

Find the digit in the units place of (676)^99
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The digit in the units place of 676⁹⁹ is 6 .

Step-by-step explanation:

Given that :

• Number is 676⁹⁹

To find :

• Digit at unit place

Solution :

• The base of the given number is 676.
• The digit at unit place of 676 is 6.
• Let us examine this number a bit carefully.

${6}^{1} = 6 \\ {6}^{2} = 36\\ {6}^{3} = 216 \\ {6}^{4} = 1296 \\ {6}^{5 } = 7776$

• In every case the unit place digit is 6.
• From this we can conclude that unit digit of number 6 raised to n times will be 6 only.
• Again, if any number contains 6 at its unit place and raised to power m, we can say that its unit digit will be 6 ( from above conclusion).
• Hence, unit place digit of 676⁹⁹ is 6 .