Evaluate the expression (1^4⋅(5+3)/(6−2))^2 . Show all your work
Let's evaluate the expression step by step.
1. First, let's simplify the expression inside the parentheses: (5 + 3) = 8 and (6 - 2) = 4
2. Next, let's substitute these simplified values back into the expression:
(1^4 * (5 + 3) / (6 - 2))^2
= (1^4 * 8 / 4)^2
3. Now, let's simplify further:
= (1 * 8 / 4)^2
= (8 / 4)^2
= 2^2
= 4
So, the evaluated expression is 4.
are u sure?
Apologies for the previous incorrect response. Let's evaluate the expression correctly:
1. First, let's simplify the expression inside the parentheses: (5 + 3) = 8 and (6 - 2) = 4.
2. Next, let's substitute these simplified values back into the expression:
(1^4 * (5 + 3) / (6 - 2))^2
= (1 * 8 / 4)^2
= (8 / 4)^2
= 2^2
= 4
So, the evaluated expression is 4.
To evaluate the given expression, let's break it down step by step:
Step 1: Evaluate what's inside the parentheses
Inside the parentheses, we have (5 + 3)/(6 - 2). Let's compute that:
(5 + 3) = 8
(6 - 2) = 4
So, (5 + 3)/(6 - 2) becomes 8/4.
Step 2: Simplify the expression further
Now, we have 8/4 as the expression inside the parentheses. We can simplify this by dividing 8 by 4.
8/4 = 2
Step 3: Apply the exponent
Next, we have 1^4. Any number raised to the power of 4 is itself, so 1^4 is equal to 1.
Step 4: Combine the results
Now, we need to square the result obtained from the previous step (2) and multiply it by the result of 1^4 (1).
(2)^2 = 2 * 2 = 4
Therefore, the final result of the expression (1^4⋅(5+3)/(6−2))^2 is 4.
Hope this explanation helps you understand how to evaluate the given expression. If you have any more questions, feel free to ask!