Evaluate the expression (14⋅(5+3)/(6−2))2 . Show all your work.
First, simplify the parentheses:
(5+3) = 8
(6-2) = 4
Now, evaluate the expression inside the parentheses:
14 * 8 / 4 = 112 / 4 = 28
Finally, square the result:
28^2 = 28 * 28 = 784
Therefore, the expression (14⋅(5+3)/(6−2))^2 evaluates to 784.
To evaluate the expression (14⋅(5+3)/(6−2))2, follow the order of operations (PEMDAS/BODMAS):
Step 1: Evaluate the parentheses inside the brackets.
(5+3) = 8
(6−2) = 4
Step 2: Substitute the values back into the expression.
14⋅(8/4)2
Step 3: Evaluate the division.
8/4 = 2
Step 4: Substitute the value back into the expression.
14⋅2^2
Step 5: Evaluate the exponent.
2^2 = 4
Step 6: Substitute the value back into the expression.
14⋅4 = 56
Therefore, the expression (14⋅(5+3)/(6−2))2 evaluates to 56.
To evaluate the expression (14⋅(5+3)/(6−2))2, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). Let's break down the steps:
Step 1: Evaluate the expression within parentheses.
Inside the parentheses, we have (5+3), which equals 8. So, our expression becomes (14⋅8/(6−2))2.
Step 2: Evaluate any exponents.
In this case, we don't have any exponents.
Step 3: Perform multiplication and division, from left to right in the expression.
Now, we have 14 multiplied by 8, which equals 112. Our expression becomes (112/(6−2))2.
Step 4: Perform any remaining division.
Next, we have 112 divided by (6−2). Subtracting within the parentheses, we get 4. So, our expression becomes (112/4)2.
Step 5: Perform any remaining multiplication.
Now we have 112 divided by 4, which equals 28. Our expression becomes 28^2.
Step 6: Evaluate the expression with the exponent.
Finally, we have 28 raised to the power of 2 (28^2). This means we multiply 28 by itself: 28⋅28 = 784.
Therefore, the value of the expression (14⋅(5+3)/(6−2))2 is 784.