Let's break down the expression step by step:

\[
\left( \frac{6}{3} \right)^2 - 1 - 3^3
\]

### Step 1: Simplify the terms inside the parentheses
\[
\frac{6}{3} = 2
\]

### Step 2: Square the result
\[
2^2 = 4
\]

### Step 3: Evaluate the powers
\[
3^3 = 27
\]

### Step 4: Substitute the results into the expression
\[
4 - 1 - 27
\]

### Step 5: Simplify the expression
\[
4 - 1 = 3
\]
\[
3 - 27 = -24
\]

Thus, the final answer is:

\[
\boxed{-24}
\]

Would you like further details on any step or have other questions?

Here are 5 related questions:
1. What is the value of \( (8/4)^2 - 2 - 4^2 \)?
2. How would you simplify \( (9/3)^3 - 5 + 2^4 \)?
3. What is the cube of \( 2 \) and how does it compare to \( 3^3 \)?
4. How would you approach evaluating expressions with exponents and parentheses?
5. What are some common mistakes when working with order of operations?

**Tip:** Always follow the order of operations: parentheses, exponents, multiplication/division (left to right), addition/subtraction (left to right).

Learn how to solve the expression (6/3)^2 - 1 - 3^3 by following the order of operations (PEMDAS). This step-by-step breakdown simplifies terms, applies exponents, and helps avoid common mistakes. Ideal 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