Math Problem Statement

What is the value of (2^3) × 4^2 ÷ 8?

Solution

The question shown in the image is:

What is the value of (23)×42÷8(2^3) \times 4^2 \div 8 ?

Let's break down the calculation step-by-step.

  1. Calculate 232^3: 23=82^3 = 8

  2. Calculate 424^2: 42=164^2 = 16

  3. Multiply 8×168 \times 16: 8×16=1288 \times 16 = 128

  4. Divide 128÷8128 \div 8: 128÷8=16128 \div 8 = 16

The correct answer is 16, not 64. It seems there was an error in the answer provided. Please update it to 16.

Would you like further clarification on any of these steps?

Here are some related questions to consider:

  1. What is the process for simplifying expressions with exponents and multiplication/division?
  2. How does the order of operations impact calculations in expressions?
  3. What is the difference between calculating (23×4)2(2^3 \times 4)^2 and 23×422^3 \times 4^2?
  4. How does exponentiation affect the growth of numbers compared to multiplication?
  5. Why is it important to calculate exponents before performing multiplication and division?

Tip: Always follow the order of operations (PEMDAS/BODMAS) to ensure accurate results in calculations.

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Math Problem Analysis

Mathematical Concepts

Exponents
Multiplication
Division
Order of Operations

Formulas

Exponentiation: a^b
Multiplication
Division

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8