Operation Hierarchy Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Evaluate \((5 + 3)^2 \div 4 - 6\).

Solution

  1. 1
    Parentheses: \(5 + 3 = 8\).
  2. 2
    Exponent: \(8^2 = 64\).
  3. 3
    Division: \(64 \div 4 = 16\).
  4. 4
    Subtraction: \(16 - 6 = 10\).

Answer

10
PEMDAS: parentheses (8), exponent (64), divide (16), subtract (10).

About Operation Hierarchy

The layered relationship between arithmetic operations, where each is built from the previous: multiplication from addition, exponentiation from multiplication.

Learn more about Operation Hierarchy →

More Operation Hierarchy Examples

Example 1 easy

Evaluate (3 + 4 times 2) using the correct order of operations.

Example 2 medium

Evaluate (2 + 3^2 times (4 - 1) div 9).

Example 3 easy

Evaluate (10 - 2 times 3 + 1).

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