Question

Using the rules for order of operations. 4*[3-8+(-6)-:(-3)]² window

Answer 1

The expression 4*[3-8+(-6)-:(-3)]² can be simplified using the order of operations. The value of the expression is 400.

Step-by-step explanation:

The expression 4*[3-8+(-6)-:(-3)]² involves the use of the order of operations (also known as PEMDAS or BODMAS) to simplify the expression step by step. Start by simplifying the operations within the parentheses, then work with any exponents or powers, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Using these rules, the expression can be simplified as follows:

1. Within the parentheses: 4*[3-8+(-6)-:(-3)]² = 4*[3-8+(-6)-(-1)]²
2. Exponent: 4*[3-8+(-6)-(-1)]² = 4*[3-8+(-6)-(-1)]^2
3. Subtraction: 4*[3-8+(-6)-(-1)]^2 = 4*[3-8-6+1]^2
4. Addition: 4*[3-8-6+1]^2 = 4*(-10)^2
5. Exponent: 4*(-10)^2 = 4*100
6. Multiplication: 4*100 = 400

Therefore, the value of the expression is 400.