https://file.aiquickdraw.com/mathbot/file/1729645939977i7tq9w3u.jpg

The expression in the image is:

\[
\frac{33 + 4}{4^3 - 27}
\]

We will simplify this step-by-step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

### Step 1: Simplify the numerator
The numerator is \( 33 + 4 \), which equals:

\[
33 + 4 = 37
\]

### Step 2: Simplify the denominator
The denominator is \( 4^3 - 27 \). First, compute \( 4^3 \):

\[
4^3 = 4 \times 4 \times 4 = 64
\]

Now subtract 27 from 64:

\[
64 - 27 = 37
\]

### Step 3: Division
Now, the expression becomes:

\[
\frac{37}{37} = 1
\]

So, the simplified result is:

\[
1
\]

Would you like any additional details or explanations?

### Related Questions:
1. What is the order of operations (PEMDAS), and how does it apply to more complex expressions?
2. How does exponentiation work in more complicated terms?
3. Can you provide an example where the numerator and denominator involve more variables?
4. What happens if there's a fraction inside a fraction? How do we simplify it?
5. How can negative numbers affect simplifications in similar expressions?

**Tip:** Always perform operations within parentheses or involving exponents before moving on to multiplication, division, addition, and subtraction!

Simplify using the order of operations: (33 + 4) / (4^3 - 27)

Learn how to simplify the expression (33 + 4) / (4^3 - 27) using the order of operations (PEMDAS). This step-by-step guide covers addition, exponentiation, and division. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation