Question 687774
Look for patterns.<P>
264 raised to the 1st power = 264...the unit's digit is the right most digit which is 4. <br>
264 raised to the 2nd power is 69696....the unit's digit is 6.<br>
264 raised to the 3rd power ...unit's digit is 4.<br>
264 raised to the 4th power ...unit's digit is 6.<br>
Whenever the power is odd the unit's digit is 4.  Whenever the power is even the unit's digit is 6.  <P>
264^102 will have a 6 in the unit's digit.  264^103 will have a 4 in the unit's digit.  6+4 = 10.  When those numbers are added the unit's digit will be 0.
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