https://file.aiquickdraw.com/mathbot/file/1729647600353rc5kk7me.jpg

The question in your image asks to simplify \(-3^3\).

Let's break this down:

- First, recognize that the exponent applies only to the 3, not to the negative sign. This is because of the standard order of operations. Thus, the expression can be interpreted as:

\[
- (3^3)
\]

- Now, calculate \(3^3\):

\[
3^3 = 3 \times 3 \times 3 = 27
\]

- Therefore, the expression becomes:

\[
- 27
\]

The simplified answer is \(-27\).

Would you like any further details or clarifications? Here are some related questions:

1. What happens if the negative sign is inside parentheses?
2. Can you simplify expressions with higher exponents, like \(-3^4\)?
3. How does the order of operations affect negative numbers with exponents?
4. How would the answer change if the base was negative (e.g., \((-3)^3\))?
5. What is the difference between odd and even exponents when working with negative numbers?

**Tip:** When dealing with exponents and negative numbers, always check if the negative is inside parentheses to ensure you're applying the exponent correctly.

Learn how to simplify -3^3 with a step-by-step explanation. This problem highlights important concepts like exponents and the order of operations (PEMDAS), making it 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