To factor the expression \(16x^4 y^5\), we will break down both the numerical coefficient and the variables:

1. The numerical coefficient \(16\) can be factored as:  
   \[
   16 = 2^4
   \]

2. The variable part \(x^4\) is already in its simplest form, representing the factor of \(x\) raised to the power of 4.

3. The variable part \(y^5\) is already factored as \(y^5\), meaning \(y\) raised to the power of 5.

So the complete factored form of the expression is:
\[
16x^4 y^5 = 2^4 \cdot x^4 \cdot y^5
\]

This is the factored form of the expression.

Would you like more details or clarifications? Here are five related questions:

1. How would you factor a different expression, like \(12x^3 y^6\)?
2. Can you combine like terms from different polynomials using factoring?
3. How do you factor expressions with negative exponents?
4. What is the greatest common factor (GCF) of \(16x^4 y^5\) and \(24x^3 y^4\)?
5. How can factoring help simplify more complex algebraic expressions?

**Tip**: Always look for common numerical and variable factors when factoring algebraic expressions.

Learn how to factor the algebraic expression 16x^4 y^5 by breaking down both the numerical and variable parts. This guide explains key algebraic concepts such as factoring and exponent laws, suitable for students in Grades 8-10.

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