Question

Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3

Answer 1

-47

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Explanation:

Step 1: Define

Identify

a⁴ - 6b + 3b ÷ ac

a = -2

b = 6

c = 3

Step 2: Evaluate

1. Substitute in variables: (-2)⁴ - 6(6) + 3(6) ÷ (-2)(3)
2. Exponents: 16 - 6(6) + 3(6) ÷ (-2)(3)
3. Multiply: 16 - 36 + 18 ÷ (-2)(3)
4. Divide: 16 - 36 - 9(3)
5. Multiply: 16 - 36 - 27
6. Subtract: -47