A class is given this question on a test about exponents: A squirrel collects 7 nuts an hour for 7 hours on 7 days. Write an expression with or without exponents to find how many nuts the squirrel collected.

Answer 1

To find the total number of nuts collected by the squirrel, we can break down the problem step by step:

1. Nuts collected per hour: 7 nuts
2. Hours per day: 7 hours
3. Days: 7 days

We can express the total number of nuts collected as follows:

First, calculate the nuts collected in one day: \[ \text{Nuts per day} = \text{Nuts per hour} \times \text{Hours per day} = 7 \times 7 = 49 \text{ nuts} \]

Next, calculate the total nuts collected over 7 days: \[ \text{Total nuts} = \text{Nuts per day} \times \text{Days} = 49 \times 7 = 343 \text{ nuts} \]

We can also express this as a single multiplication expression, which could involve exponents: \[ \text{Total nuts} = 7 \times 7 \times 7 \times 7 = 7^3 \times 7 = 7^4 = 2401 \text{ nuts} \]

So the expression to find the total number of nuts collected is: \[ 7^3 \times 7 = 7^4 = 2401 \text{ nuts} \]

In summary, the squirrel collected a total of 2401 nuts.