Express 256 in exponential form as a power of 2?

Answer 1

When encountering a problem like this, to solve it, just keep dividing by 2 and count the number of times you can divide by 2

256 / 2 = 128 (1)

128 / 2 = 64 (2)

64 / 2 = 32 (3)

32 / 2 = 16 (4)

16 / 2 = 8 (5)

8 / 2 = 4 (6)

4 / 2 = 2 (7)

2 / 2 = 1 (8)

If you end up with 1 then you are done - now take the number in parenthesis and that is your power 2^8 = 256. If you got a fraction then no solution.

Example try to write 9 as a power of 2

9 / 2 = 4.5 (fraction already - stop)

So, 2^8 is the answer to your question