Math Problem Statement

Simplify the mathematical expression: 6^3 - 3^2 × 4 ÷ (7 + 2).

Solution

To solve the expression 6332×4÷(7+2)6^3 - 3^2 \times 4 \div (7 + 2), follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses: (7+2)=9(7 + 2) = 9

  2. Exponents: 63=2166^3 = 216 32=93^2 = 9

  3. Multiplication and Division (from left to right): 9×4=369 \times 4 = 36 36÷9=436 \div 9 = 4

  4. Subtraction: 2164=212216 - 4 = 212

The result is 212212.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Arithmetic

Formulas

PEMDAS/BODMAS: Parentheses → Exponents → Multiplication and Division (left to right) → Addition and Subtraction (left to right)

Theorems

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Suitable Grade Level

Grades 6-8