Math Problem Statement

(3 + 1) + 2^3 / (9 - 3)

Solution

The given expression is:

(3+1)+2393\frac{(3 + 1) + 2^3}{9 - 3}

Step-by-step solution:

  1. Evaluate the parentheses and exponents:

    (3+1)=4(3 + 1) = 4 23=82^3 = 8

  2. Substitute these values into the expression:

    4+893\frac{4 + 8}{9 - 3}

  3. Simplify the numerator and denominator:

    Numerator: 4+8=12\text{Numerator: } 4 + 8 = 12 Denominator: 93=6\text{Denominator: } 9 - 3 = 6

  4. Now, divide:

    126=2\frac{12}{6} = 2

Final answer:

22

Would you like more details or have any further questions?

Here are 5 related questions:

  1. What happens if we change the exponent 232^3 to another number?
  2. How do you evaluate expressions with more complex exponents?
  3. What is the general process for simplifying fractions?
  4. Can you explain how to handle more complicated numerators and denominators?
  5. How does changing one part of the expression affect the overall result?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when solving mathematical expressions.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Basic Arithmetic

Formulas

Exponentiation: a^n
Basic arithmetic division: a / b

Theorems

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Suitable Grade Level

Grades 5-7