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SAI International School
                                                       Grade -VIII


               Mathematics



               CHAPTER-12: EXPONENTS AND POWERS
               LESSON NOTE:1

               SUBTOPICS: , POWERS WITH NEGATIVE
               EXPONENTS,LAWS OF EXPONENTS

                       Introduction:

                       Mass of earth is 5,970,000,000,000, 000, 000, 000, 000 kg. We have already
                       learnt in earlier class how to write such large numbers more conveniently using
                                                 24
                       exponents, as, 5.97 × 10 kg.


                       Powers with 0 exponents:

                       The value is always 1


                                         0
                             0
                       Eg- 5 = 1        a = 1
                       Powers with negative exponents:
                       In general, we can say that for any non-zero integer a,

                       a – m =



                                                        –m
                                                                                           m
                       where m is apositive integer. a is the multiplicative inverse of a .

                                     뛐
                       Examples:              ,                  ,
                                             뛐


                       Laws of Exponents:
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