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Answer:

C. 1/3

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

Step-by-step explanation:

Step 1: Define

Identify

a = 2/3

b = 3/4

c = 1/2

a(b - c²)

Step 2: Evaluate

  1. Substitute in variables:                                                                                     2/3[3/4 - (1/2)²]
  2. [Brackets] Exponents:                                                                                      2/3(3/4 - 1/4)
  3. (Parenthesis) Subtract:                                                                                     2/3(1/2)
  4. Multiply:                                                                                                             1/3

Answer:

C. 1/3

Step-by-step explanation:

Replace each letter with their corresponding value and simplify using the order of operations:

a(b - c*c)

turns into:

[tex]\frac{2}{3} (\frac{3}{4}-(\frac{1}{2}*\frac{1}{2}))[/tex]

You want to remember that order of operations follows the rules of PEMDAS. The operations within the parentheses come first.

1/2 times 1/2 = 1/4

Now we have:

[tex]\frac{2}{3}(\frac{3}{4}-\frac{1}{4})[/tex]

Then 3/4 - 1/4 = 2/4 = 1/2

[tex]\frac{2}{3}(\frac{1}{2})[/tex] = 1/3

Therefore your answer is C. 1/3