Evaluate the expression (14⋅(5+3)(6−2))2 . Show all your work.
give me a short answer
The expression (14⋅(5+3)(6−2))2 can be simplified as follows:
First, we simplify the innermost brackets, which gives us: (14⋅8(6−2))2
Next, we simplify the parentheses, giving us: (14⋅8⋅4)2
Then, we multiply 14, 8, and 4 together, resulting in: 4482
Finally, we square the result: 4482 squared is equal to 2007044.
So, the simplified expression is 2007044.
To evaluate the expression (14⋅(5+3)(6−2))2, follow these steps:
Step 1: Inside the parentheses, evaluate the expressions within: (5+3) = 8 and (6−2) = 4.
Step 2: Simplify the expression by substituting the values: (14⋅8⋅4)2.
Step 3: Calculate the multiplications within parentheses: 14⋅8⋅4 = 448.
Step 4: Square the result: 4482 = 200,704.
Therefore, the short answer is: (14⋅(5+3)(6−2))2 = 200,704.
The evaluation of the expression (14⋅(5+3)(6−2))2 is 358,144.
To evaluate this expression, we can follow the order of operations, also known as BIDMAS or PEMDAS.
1. First, perform the operations inside the parentheses.
(5 + 3) = 8
(6 - 2) = 4
2. Multiply 14 by the result of step 1.
14 ⋅ 8 = 112
3. Multiply the result of step 2 by 2.
112 ⋅ 2 = 224
4. Finally, square the result from step 3.
224^2 = 50,176
Therefore, the expression (14⋅(5+3)(6−2))2 evaluates to 358,144.