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6 123655653648596098976557878765643654675869789 \large 6^{123655653648596098976557878765643654675869789}

What is the last digit of the number above?

3 Can't calculate 6 9

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4 solutions

Mohammad Khaza
Jul 30, 2017

here it is:

6 1 = 6 6^1=6

6 2 = 36 6^2=36

6 3 = 216 6^3=216

6 4 = 1296 6^4=1296

6 5 = 7776 6^5=7776

. . . . . . . . . . . . . . . . . . . . . . . . . . ..........................

. . . . . . . . . . . . . . . . . . ..................

every time, the last digit is 6.so, the last digit will be 6.

Áron Bán-Szabó
Jul 28, 2017

6 2 = 3 6 {\color{#D61F06}{6}}^2=3{\color{#D61F06}{6}} So it is clear that for any n > 0 n>0 integer, 6 n 6^n ends in a 6 \boxed{6} .

. .
Feb 13, 2021

The last digit of 6 123655653648596098976557878765643654675869789 6^{123655653648596098976557878765643654675869789} equals to 6 1 6^{1} , so it is 6 \boxed{6} .

Hana Wehbi
Jul 28, 2017

6 6 to the power any number will always have 6 in the units digit.

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