Evaluate the expression (1^4⋅(5+3)/(6−2))^2 . Show all your work.(4 points)
We first evaluate the expression inside the parentheses:
1^4 = 1
5+3 = 8
6-2 = 4
So, (1^4⋅(5+3)/(6−2))^2 becomes (1⋅8/4)^2.
Next, we simplify the expression inside the parentheses:
1⋅8/4 = 2
So, (1⋅8/4)^2 becomes 2^2.
Finally, we evaluate 2^2:
2^2 = 4
Therefore, the expression (1^4⋅(5+3)/(6−2))^2 evaluates to 4.
To evaluate the expression (1^4⋅(5+3)/(6−2))^2, we will follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division- from left to right, and Addition and Subtraction- from left to right).
First, let's simplify the expression inside the parentheses:
(5+3) = 8
(6-2) = 4
Now we have:
(1^4⋅8/4)^2
Next, let's simplify the exponents:
1^4 = 1
Now we have:
(1⋅8/4)^2
After that, let's perform the multiplication and division:
8/4 = 2
Now we have:
(1⋅2)^2
Finally, let's complete the calculation by evaluating the expression:
(1⋅2)^2 = 2^2 = 4
Therefore, the value of the expression (1^4⋅(5+3)/(6−2))^2 is 4.
To evaluate the expression (1^4⋅(5+3)/(6−2))^2, we need to follow the order of operations. Here's how we can solve it step by step:
1. Inside the parentheses: (5+3) = 8.
2. Inside the parentheses: (6-2) = 4.
Now the expression becomes: (1^4⋅8/4)^2.
3. Exponent: 1^4 = 1.
4. Multiplication: 1⋅8 = 8.
5. Division: 8/4 = 2.
Now the expression becomes: (2)^2.
6. Exponent: 2^2 = 4.
Therefore, the value of the expression (1^4⋅(5+3)/(6−2))^2 is 4.
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