bacteria are tiny organisms that consist of a single cell. New bacteria are created when a cell splits into two identical copies.
A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours.
complete the table to show the total number of cells after 5 hours
hour | expression | number of cells |
1 | 2 | 2 |
2 | 2 x 2 | 4 |
3 | 2 x 2 x 2 | 8 |
4 | 2 x 2 x 2 x 2 | 16 |
5 | ? | ? | ? |
5 | 2 x 2 x 2 x 2 x 2 | 32 |
which expression represents the number of cells after 8 hours?
2 x 8
8^2
8 x 8
2^8
2^8
The expression 2^8 represents 2 raised to the power of 8, which means 2 multiplied by itself 8 times. This is the correct way to represent the number of cells after 8 hours, as each hour the number of cells doubles.
complete the statement to describe the expression 4 x 4 x 4
you can write the expression as a power, using ? as the base and ? and the exponent
4 x 4 x 4 can be written as a power using 4 as the base and 3 as the exponent.
4^3
what is the value of 4^3
4^3 is equal to 64.
4^3 = 4 x 4 x 4 = 64