Look for patterns.
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document.write( "264 raised to the 1st power = 264...the unit's digit is the right most digit which is 4.
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document.write( "264 raised to the 2nd power is 69696....the unit's digit is 6.
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document.write( "264 raised to the 3rd power ...unit's digit is 4.
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document.write( "264 raised to the 4th power ...unit's digit is 6.
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document.write( "Whenever the power is odd the unit's digit is 4. Whenever the power is even the unit's digit is 6.
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document.write( "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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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
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