Can You Use Patterns to Find the Last Two Digits of Powers of 4?

Thread starter sparsh
Start date May 13, 2006

May 13, 2006

sparsh

How does one solve problems like these :

finding last two digits of 4^ 300

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May 13, 2006

Tide

Science Advisor

Homework Helper

One simple way is to look for patterns. For example, the last digit of powers of 4 alternate between 4 and 6. Can you relate that to the number of factors of 4?

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