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
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.