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?
a) To find the total number of quarters, we need to calculate how many quarters are in each level and then multiply them together. In this case, we have 8 containers, and each container has 8 boxes. Each box contains 8 bottles, and each bottle contains 8 quarters. In essence, we have 4 levels of 8. To write this as a power, we can use the exponentiation operator (^) and express it as:
8^4
This means we raise 8 to the power of 4, which gives us the total number of quarters in the chest.
b) To find the value of the money in the chest, we need to know the value of each quarter. Without this information, we cannot provide an exact answer. However, once we know the value of a single quarter, we can simply multiply it by the total number of quarters calculated in part a) to find the total value.
For example, if each quarter is worth $0.25, we would multiply it by the total number of quarters. If the total number of quarters is X, then the value of the money in the chest would be:
0.25 * X
Therefore, to determine the value of the money in the chest, we need to know the value of a single quarter.