Evaluate the expression (1^4⋅(5+3)/(6−2))^2 . Show all your work
First, we evaluate the expression inside the parentheses:
5 + 3 = 8
6 - 2 = 4
Next, we evaluate the exponent:
(8/4)^2 = (2)^2 = 4
Thus, the expression (1^4⋅(5+3)/(6−2))^2 simplifies to 4^2 = 16.
To evaluate the expression (1^4⋅(5+3)/(6−2))^2, follow the order of operations (also known as PEMDAS/BODMAS) to simplify the expression step-by-step.
Step 1: Simplify the expression inside the parentheses.
(5 + 3) = 8
(6 - 2) = 4
Step 2: Evaluate the exponent 1^4 and simplify the division inside the parentheses.
1^4 = 1
8/4 = 2
Step 3: Square the result from Step 2.
2^2 = 2 × 2 = 4
Therefore, the expression (1^4⋅(5+3)/(6−2))^2 simplifies to 4.
To evaluate the expression (1^4⋅(5+3)/(6−2))^2, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (PEMDAS/BODMAS).
Step 1: Evaluate the expression inside the parentheses (5+3) and (6-2):
(5+3) = 8
(6−2) = 4
Step 2: Substitute the values in the expression:
(1^4⋅8/4)^2
Step 3: Evaluate the exponent:
1^4 = 1
Step 4: Simplify the multiplication:
1⋅8 = 8
Step 5: Simplify the division:
8/4 = 2
Step 6: Substitute the values in the expression:
(2)^2
Step 7: Evaluate the exponent:
2^2 = 4
Therefore, the value of the expression (1^4⋅(5+3)/(6−2))^2 is 4.