Question
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. Pick which one is correct
7 x 3
7^2
7^3
7 x 7 x 7 x 7
7 x 3
7^2
7^3
7 x 7 x 7 x 7
Answers
GPT-4o mini
To find out how many nuts the squirrel collected, we need to calculate the total number of nuts collected over the 7 hours for 7 days.
The squirrel collects:
- 7 nuts/hour
- For 7 hours each day
- For 7 days
First, we can find the total number of nuts collected in one day:
\[
7 \text{ nuts/hour} \times 7 \text{ hours} = 49 \text{ nuts/day}
\]
Now, we can find the total for 7 days:
\[
49 \text{ nuts/day} \times 7 \text{ days} = 343 \text{ nuts}
\]
Alternatively, we can express this calculation as:
\[
7 \times 7 \times 7 \times 7 = 7^4
\]
However, the options provided do not include \(7^4\). Instead, let's look at the available choices and determine which are related to the correct factors:
- \(7 \times 3\) does not relate to the problem correctly.
- \(7^2\) represents \(49\) (which is the daily total of nuts), but does not represent 343.
- \(7^3\) equals \(343\) (the total number of nuts).
- \(7 \times 7 \times 7 \times 7\) represents \(7^4\), not involved here.
The best option related to the total nuts collected is \(7^3\), as \(7^3 = 343\) indicates the total when considering the exponential growth through hours or days.
So, the correct answer is: **7^3**.
The squirrel collects:
- 7 nuts/hour
- For 7 hours each day
- For 7 days
First, we can find the total number of nuts collected in one day:
\[
7 \text{ nuts/hour} \times 7 \text{ hours} = 49 \text{ nuts/day}
\]
Now, we can find the total for 7 days:
\[
49 \text{ nuts/day} \times 7 \text{ days} = 343 \text{ nuts}
\]
Alternatively, we can express this calculation as:
\[
7 \times 7 \times 7 \times 7 = 7^4
\]
However, the options provided do not include \(7^4\). Instead, let's look at the available choices and determine which are related to the correct factors:
- \(7 \times 3\) does not relate to the problem correctly.
- \(7^2\) represents \(49\) (which is the daily total of nuts), but does not represent 343.
- \(7^3\) equals \(343\) (the total number of nuts).
- \(7 \times 7 \times 7 \times 7\) represents \(7^4\), not involved here.
The best option related to the total nuts collected is \(7^3\), as \(7^3 = 343\) indicates the total when considering the exponential growth through hours or days.
So, the correct answer is: **7^3**.