Question

Calculate the value for each of the following:

5^0,4^-2, 1/3^4,1/3^-2,6^5*6^-2

Answer 1

5^0 =1   (since a^0 =1)

4^-2 = 1/4^2   (since a^-m =1/a^m)

        =1/16

1/3^4 = 1/81

1/3^-2=3^2         (since 1/a^-m =a^m)

          =9

6^5*6^-2=6^(5+(-2))     (since a^m*a^n  = a^(m+n))

              =6^3

               =216