A class is given this question on a test about exponents: A squirrel collects 12 nuts an hour for 12 hours on 12 days. Write an expression with and without exponents to find how many nuts the squirrel collected. Two students provided these answers. Student A Student B 123 123 12⋅3 12⋅12⋅12 36 nuts 1,728 nuts Which student is correct? Explain what the incorrect student did incorrectly.

3 answers

Student A is correct. They correctly multiplied 12 by 3 to find the total number of nuts collected.

Student B is incorrect. They multiplied 12 by itself 3 times, which is not the correct way to find the total number of nuts collected.
explain more.i dont understand how its not correct. explain better.
I apologize for any confusion. Let me explain in more detail.

In the problem, the squirrel collects 12 nuts an hour for 12 hours on 12 days. To find the total number of nuts collected, we need to multiply the number of nuts collected per hour (12), the number of hours (12), and the number of days (12).

Student A correctly multiplies 12 by 3, which gives a total of 36 nuts. This is the correct way to calculate the total number of nuts collected.

Student B, on the other hand, multiplies 12 by itself 3 times, which results in 12 * 12 * 12 = 1,728. This answer is incorrect because it unnecessarily applies exponentiation.

Exponentiation is used when you have a base number raised to a power, not when calculating the product (multiplication) of three whole numbers. Therefore, Student B's answer of 1,728 nuts is incorrect. The correct answer is 36 nuts, as calculated by Student A.