Evaluate the expression (14⋅(5+3)(6−2))2 . Show all your work.
First, we need to simplify the expression inside the parentheses:
(5+3) = 8
(6-2) = 4
Now, we can substitute these values back into the original expression:
(14 * 8 * 4)^2
Next, we can perform the multiplication inside the parentheses:
14 * 8 = 112
Now, we can substitute this value back into the expression:
(112 * 4)^2
Next, we can perform the multiplication inside the parentheses again:
112 * 4 = 448
Now, we can substitute this value back into the expression:
(448)^2
Finally, we can square the value:
448^2 = 200704
So the final result is 200704.
To evaluate the expression, let's start by simplifying the expression inside the parentheses first, following the order of operations (parentheses, exponents, multiplication/division, and addition/subtraction):
(5 + 3) = 8.
(6 - 2) = 4.
Next, we will substitute the simplified values back into the expression:
(14 * 8 * 4)².
Multiplying the values inside the parentheses:
14 * 8 = 112.
112 * 4 = 448.
Now, we can square this value:
448².
To square a number, we multiply it by itself:
448 * 448 = 200,704.
Therefore, the expression (14⋅(5+3)(6−2))² simplifies to 200,704.
To evaluate the expression (14⋅(5+3)(6−2))², follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
Step 1: Start by simplifying the expression within the inner parentheses: (5 + 3) and (6 - 2).
(5 + 3) = 8
(6 - 2) = 4
Now, replace the inner parentheses with their simplified values: (14⋅8⋅4)².
Step 2: Perform the multiplication:
14⋅8⋅4 = 448
The expression becomes: (448)².
Step 3: Evaluate the exponent:
(448)² = 448 × 448 = 200,704
Therefore, the value of the expression (14⋅(5+3)(6−2))² is 200,704.
Evaluate the expression (1^4⋅(5+3)(6−2))^2 . Show all your work.
First, we need to simplify the expression inside the parentheses:
(5+3) = 8
(6-2) = 4
Now, we can substitute these values back into the original expression:
(1^4 * 8 * 4)^2
Next, we can simplify the exponent:
1^4 = 1
Now, we can substitute this value back into the expression:
(1 * 8 * 4)^2
Next, we can perform the multiplication inside the parentheses:
1 * 8 = 8
Now, we can substitute this value back into the expression:
(8 * 4)^2
Next, we can perform the multiplication inside the parentheses again:
8 * 4 = 32
Now, we can substitute this value back into the expression:
(32)^2
Finally, we can square the value:
32^2 = 1024
So the final result is 1024.