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Evaluate the expression (14⋅(5+3)/(6−2))^2 . Show all your work
To evaluate the expression (14⋅(5+3)/(6−2))^2, we will follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, simplify the expression within the parentheses:
(5 + 3) = 8
Next, simplify the expression within the first set of parentheses:
14⋅8 = 112
Now, simplify the expression within the second set of parentheses:
(6 - 2) = 4
Next, divide 112 by 4:
112/4 = 28
Lastly, square the result:
28^2 = 784
Therefore, the expression (14⋅(5+3)/(6−2))^2 evaluates to 784.
To evaluate the expression (14⋅(5+3)/(6−2))^2, we need to follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
1. First, simplify the expression inside the parentheses: (5 + 3) = 8.
The expression becomes: (14⋅8/(6−2))^2
2. Then, simplify the expression inside the brackets: (6 − 2) = 4.
The expression becomes: (14⋅8/4)^2
3. Next, perform the multiplication: 14⋅8 = 112.
The expression becomes: (112/4)^2
4. Now, perform the division: 112/4 = 28.
The expression becomes: 28^2
5. Finally, square the number 28: 28^2 = 784.
Therefore, the value of the expression (14⋅(5+3)/(6−2))^2 is 784.
To evaluate the expression (14⋅(5+3)/(6−2))^2, we follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's begin step by step:
1. Evaluate what's inside the parentheses first: (5 + 3)
5 + 3 = 8
2. Next, solve for the numerator: 14⋅8
14 ⋅ 8 = 112
3. Then, calculate the denominator: (6 - 2)
6 - 2 = 4
4. Now divide the numerator by the denominator: 112 / 4
112 / 4 = 28
5. The next step is to square the result: 28^2
28^2 = 784
Therefore, the final result of the expression (14⋅(5+3)/(6−2))^2 is 784.