Back to Unit 1 Numeration

Negative and Zero Exponents

Any nonzero number to the zero power has a value of 1                

                                                                   a0 = 1

            Example: 20 = 1,          100 = 1

         You can prove this by using the laws of exponents: For example 100 100 = 1 so 102 102 = 1      By the laws of exponents 102 102=102-2 = 100

 

If a nonzero number has a negative exponent it represents a fraction with a numerator of 1 and a denominator of the base, raised to the positive value of the exponent.

                                                          a-n =

                                                  Example: 3-2 =