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!