Fully simplify.
minus, 5, x, cubed, y, left parenthesis, minus, 16, x, squared, y, squared, right parenthesis
−5x 
3
 y(−16x 
2
 y 
2
 )

The given expression is:

\[
-5x^3 y \left(-16x^2 y^2 \right)
\]

To simplify this, follow these steps:

### Step 1: Multiply the constants
\[
-5 \times (-16) = 80
\]

### Step 2: Multiply the powers of \(x\)
\[
x^3 \times x^2 = x^{3+2} = x^5
\]

### Step 3: Multiply the powers of \(y\)
\[
y \times y^2 = y^{1+2} = y^3
\]

### Step 4: Combine all the parts
\[
80x^5 y^3
\]

Thus, the simplified expression is:

\[
80x^5 y^3
\]

Would you like more details or have any questions?

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Here are 5 related questions to further explore:

1. How do you multiply expressions with exponents?
2. What are the rules for multiplying variables with the same base?
3. How would you simplify an expression with different bases?
4. What are the steps to factor polynomials involving variables and exponents?
5. How does distributive property affect simplification?

**Tip**: When multiplying terms with the same base, simply add their exponents.

Simplify the algebraic expression −5x³y(−16x²y²) with a step-by-step explanation. Learn how to apply exponent rules and multiplication techniques to get the simplified result 80x⁵y³. This example is suitable for students in Grades 8-10, covering key algebraic concepts.

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