Question

Express each of the following numbers in exponential notation. (A)
a. 256
b. 405
c. 648

Answer 1

Answer:

a) 16^2 or 4^4 or 2^8

b) 3^4 x 5

c)  2^3 x 3^4

Step-by-step explanation:

a) 256 = 2 x 128

           = 2 x 2 x 64

          = 2 x 2 x 2 x 32

          = 2 x 2 x 2 x 2 x 16

           = 2 x 2 x 2 x 2 x 4 x 4

            = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

b) 405 = 5 x 81

             = 5 x 9 x 9

             = 5 x 3 x 3 x 3 x 3

c) 648 = 2 x 324

            = 2 x 2 x 162

          = 2 x 2 x 2 x 81

         =  2 x 2 x 2 x 9 x 9

         = 2 x 2 x 2 x 3 x 3 x 3 x 3