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HOW TO FIND LAST TWO DIGIT IN POWER OF EVEN NUMBERS


HOW TO FIND LAST TWO DIGIT IN POWER OF EVEN NUMBERS


                  To find out the last two digit first note some tips
                     (2^10)^odd number=24 (Last two digit)
                     (2^10)^even number=76 (Last two digit)

         And product of 76 with any power of two will be equal to that number i.e last two digit.

               For example : 76 * 2^2=04 will be the last two digit
                                     76 * 2^3=08 will be the last two digit
                                     76 * 2^4=16 will be the last two digit
                                     76 * 2^5=32 will be the last two digit
                                     76 * 2^6=64 will be the last two digit
                                     76 * 2^7=28 will be the last two digit
                                     76 * 2^8=56 will be the last two digit
                                     76 * 2^9=12 will be the last two digit
                                     76 * 2^10=24 will be the last two digit

         * Now find out the last two digit of 2^84?
             Sol :  2^84=(2^10)^8  *  2^4
                              =(2^10)^even number [i.e 8] * 2^4  [As we know (2^10)^even number=76 ]
                              =76 * 2^4
                              =2^4
                              =16 Last two digit.

           * Find out the last two digit of 2^11283?
                    Sol :
                            2^11283=2^11280 * 2^3
                                          =(2^10)^1128 * 2^3 [Since 1128 is even number so it will give 76]
                                          =76 * 2^3
                                          =08 Answer
           
            * Find out the last two digit of 2^5433?
             Sol :            
                            2^5433=(2^10)^543 * 2^3 [Since 543 is odd number so it will give 24]
                                       =24 * 08
                                      =92 Last two digit

                      
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