Let's break this expression down step by step:

The expression is:

\[
((-1)^2 \times (-2)^3) + (4 \% 5)
\]

### Step 1: Calculate \((-1)^2\)
\[
(-1)^2 = 1
\]

### Step 2: Calculate \((-2)^3\)
\[
(-2)^3 = -8
\]

### Step 3: Multiply the results from Step 1 and Step 2
\[
1 \times (-8) = -8
\]

### Step 4: Calculate \(4 \% 5\)
This is the remainder when 4 is divided by 5. Since 4 is less than 5, the remainder is just 4.
\[
4 \% 5 = 4
\]

### Step 5: Add the results from Step 3 and Step 4
\[
-8 + 4 = -4
\]

Thus, the final result is:

\[
\boxed{-4}
\]

Do you want any further details or have any questions?

Here are 5 related questions for further exploration:
1. How does the order of operations affect expressions like this one?
2. What is the general rule for powers of negative numbers?
3. How is the modulus operation used in real-world applications?
4. What happens when you change the base numbers in the expression \((-1)^2\) and \((-2)^3\)?
5. What if the percentage operator was replaced with another operator like division?

**Tip:** When working with mixed operations like powers and modulus, it's helpful to tackle each operation in steps following the order of operations: parentheses, exponents, multiplication/division, and then addition/subtraction.

Learn how to solve the expression (-1)^2(-2)^3 + 4%5 with detailed steps. This problem covers key concepts such as exponentiation of negative numbers, modulus operation, and order of operations. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation