Evaluate the expression (14⋅(5+3)(6−2))2. Show all your work.(4 points)


Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.

The answer shows that the student used problem-solving skills and reasoning.

All work is shown or explained.

3
The answer is mostly correct. The student made small errors while solving.

The answer shows that the student used some problem-solving skills and reasoning.

Most work is shown or explained.

2
The answer is partially correct. The student made errors while solving.

The answer shows that the student used some problem-solving skills or reasoning.

Some work is shown or explained.

1
The answer is incorrect. The student made errors while solving.

The answer shows little problem-solving skills or reasoning.

Little or no work is shown.

0 The question is not answered.


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1 answer

To evaluate the expression (14⋅(5+3)(6−2))2, we need to follow the order of operations (PEMDAS/BODMAS).

First, we'll simplify the expressions within the parentheses.

(5+3) = 8
(6−2) = 4

Now we have 14⋅8⋅4.

Next, we'll multiply 14 by 8 and then multiply the result by 4.

14⋅8 = 112
112⋅4 = 448.

Finally, we have 4482.

To evaluate this, we square the number 448.

4482 = 448 * 448 = 200704.

Therefore, the expression (14⋅(5+3)(6−2))2 evaluates to 200704.