A chest has 8 containers. Each container has 8 boxes. Each box has 8 bottles. Each bottle has 8 quarters.
a) write a power to describe the total number of quarters.
b) what is the value of the money in the chest?
See my previous answer.
You should be able to think this through on your own
how did you get 4?
That was explained in one of your other posts of the same question
a) To find the total number of quarters, we need to multiply the number of containers, boxes, and bottles. Since each container has 8 boxes, and each box has 8 bottles, we can write this as:
Total number of quarters = 8 containers * 8 boxes * 8 bottles
This can be simplified as:
Total number of quarters = 8^3
So, the power to describe the total number of quarters is 8 raised to the power of 3.
b) Each bottle has 8 quarters, and there are 8 containers, 8 boxes, and 8 bottles in each chest. So, to find the value of the money in the chest:
Value of money in the chest = Total number of quarters * Value of each quarter
Since there are 8^3 quarters, and each quarter has the same value, we can say the value of each quarter is 1. Therefore:
Value of money in the chest = 8^3 * 1
Simplifying this equation results in the value of the money in the chest.