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?
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Oh good grief. Read the previous answer.
a) To find the total number of quarters, we need to multiply the number of containers by the number of boxes in each container, the number of bottles in each box, and the number of quarters in each bottle. We can use exponents to represent the multiplication. Since we have 8 levels of multiplication (chest, container, box, bottle, quarters), we can write it as:
8^5
This means we multiply the number 8 by itself 5 times: 8 x 8 x 8 x 8 x 8 = 32,768. Therefore, the total number of quarters is 32,768.
b) To find the value of the money in the chest, we need to find the total value of all the quarters. Since each quarter has a value of $0.25, we can simply multiply the total number of quarters (32,768) by $0.25:
32,768 x $0.25 = $8,192.
Therefore, the value of the money in the chest is $8,192.