Math Problem Statement

Solve the expression: 4 ⋅ 6 ÷ 2³

Solution

Let's solve the expression shown in the image:

46÷234 \cdot 6 \div 2^3

Step 1: Simplify the exponent

23=82^3 = 8

So the expression becomes: 46÷84 \cdot 6 \div 8

Step 2: Perform the operations from left to right (following the order of operations)

First, multiply:

46=244 \cdot 6 = 24

Next, divide:

24÷8=324 \div 8 = 3

Final Answer:

46÷23=34 \cdot 6 \div 2^3 = 3

Would you like a further breakdown or explanation?


Here are five related questions for practice:

  1. What is 532÷155 \cdot 3^2 \div 15?
  2. Solve 8÷2228 \div 2 \cdot 2^2.
  3. How does the order of operations apply to 4(6÷23)4 \cdot (6 \div 2^3)?
  4. Simplify 1022÷410 \cdot 2^2 \div 4.
  5. Evaluate 75÷237 \cdot 5 \div 2^3.

Tip: Always evaluate exponents first, followed by multiplication or division (left to right).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Division
Multiplication

Formulas

Exponentiation: a^b
Order of Operations: PEMDAS

Theorems

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Suitable Grade Level

Grades 6-8