Question

The number of mice in a basement triples every month. If a nest starts out with 3 mice, how many mice would there be after 6 months?

Answer 1

729 mice on the six month

Explanation:

First month has a total of 3 mice. This amount triples for the second month, and the second month's amount triples for the following. And, so on.

If we take a look at your question, a simple way to solve this equation would to set this problem up as en exponential problem
`3^(6)` which can also be seen as 3^6 (^ is known as a carrot on the calculator).

3^6 means that 3 will be multiplied to itself six times: 3 x 3 x 3 x 3 x 3 x 3

This is the long multiplication version of your problem:

3 x 3 x 3 x 3 x 3 x 3 =

9 x 3 x 3 x 3 x 3 =

27 x 3 x 3 x 3 =

81 x 3 x 3 =

243 x 3 = 729 mice

So by the time the 6th month comes around, there will be a basement full of 729 mice

Hope this helped!