14 – 36 ÷ (10 – 8)2 + 1
Using the order of operations (PEMDAS/BODMAS), we first solve the expression inside the brackets:
(10 - 8)2 = 2^2 = 4
Now we can substitute this value back into the original expression:
14 - 36 ÷ 4 + 1
Next, we perform the division:
36 ÷ 4 = 9
Now we can substitute this value back into the expression:
14 - 9 + 1
Finally, we subtract and add:
14 - 9 + 1 = 6
Therefore, 14 – 36 ÷ (10 – 8)2 + 1 equals 6.
6^2 – 16 ÷ 4
Using the order of operations:
First, we perform the division:
16 ÷ 4 = 4
Now we can substitute this value back into the expression:
6^2 - 4
Next, we calculate the square:
6^2 = 36
Now we can substitute this value back into the expression:
36 - 4
Finally, we subtract:
36 - 4 = 32
Therefore, 6^2 – 16 ÷ 4 equals 32.
Simplify each expression. (1 pt. each)
5. 5(2x – 3)
6. -(6 – 11x)
7. 2x2 + 5xy + 3x2 – xy
8. 3(3x + 4y - 5) – 2x – 10y
5. 5(2x - 3) = 10x - 15
6. -(6 - 11x) = -6 + 11x
7. 2x^2 + 5xy + 3x^2 - xy = 5x^2 + 4xy
8. 3(3x + 4y - 5) - 2x - 10y = 9x + 12y - 15 - 2x - 10y = 7x + 2y - 15
To solve the expression 14 - 36 ÷ (10 - 8)2 + 1, we need to follow the order of operations or BEDMAS (Brackets, Exponents, Division and Multiplication, and Addition and Subtraction).
Step 1: Simplify the brackets first.
(10 - 8)2 equals (2)2 which equals 4.
So now the expression becomes 14 - 36 ÷ 4 + 1.
Step 2: Perform the division.
36 ÷ 4 equals 9.
The expression now becomes 14 - 9 + 1.
Step 3: Perform the subtraction and addition.
14 - 9 equals 5, and 5 + 1 equals 6.
Therefore, the final result of the expression 14 - 36 ÷ (10 - 8)2 + 1 is 6.
To solve this expression, we need to follow the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Let's break down the expression step by step:
1. Solve inside the parentheses:
(10 - 8) = 2
2. Solve the exponent:
2² = 2 * 2 = 4
3. Perform the division:
36 ÷ 4 = 9
4. Solve the subtraction:
14 - 9 = 5
5. Finally, perform the addition:
5 + 1 = 6
Therefore, the value of the expression 14 – 36 ÷ (10 – 8)² + 1 is 6.