Question

An amoebas divides into two amoebas after one hour.one hour later each of the two amoebas divides to form two more.

write an expression for the number of amoebas after 6 hours
write an expression for the number of amoebas after 24 hours
Why might exponential notation be preferable to answer these questions?​

Answer 1

6hours- 2 × 2 × 2 × 2 × 2 × 2 = 2⁶

24hours- 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2²⁴

Answer 2

after 6 hours ---- 2 × 2 × 2 × 2 × 2 × 2 = 2⁶

after 24 hours ---- 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2²⁴

Exponential notation is preferable because its easier to write, and easier to work with