SIMPLIFY THE EXPRESSIONS. USE THE PROPERTY OF EXPONENTS.
 
1.    Simplify the problem:      (-6x4y3)2  _____________________

Let's simplify the given expression: 

\[
(-6x^4y^3)^2
\]

To simplify this expression, we will apply the power of a product property of exponents, which states:

\[
(a \cdot b)^n = a^n \cdot b^n
\]

### Step-by-step solution:

1. **Distribute the exponent to each factor inside the parentheses**:

   \[
   (-6)^2 \cdot (x^4)^2 \cdot (y^3)^2
   \]

2. **Simplify each term**:

   \[
   (-6)^2 = 36
   \]
   \[
   (x^4)^2 = x^{4 \cdot 2} = x^8
   \]
   \[
   (y^3)^2 = y^{3 \cdot 2} = y^6
   \]

3. **Final simplified expression**:

   \[
   36x^8y^6
   \]

So, the simplified form of the expression \((-6x^4y^3)^2\) is:

\[
\boxed{36x^8y^6}
\]

Would you like further details or have any questions?

---

Here are 5 related questions for further practice:

1. Simplify: \((3x^2y)^3\)
2. Simplify: \((-5a^3b^2)^2\)
3. Simplify: \((2x^5y^2)^3\)
4. Simplify: \((-7x^3y^4)^2\)
5. Simplify: \((4xy^2)^3\)

**Tip:** When raising a product to a power, distribute the exponent to each factor, including any constants!

SIMPLIFY THE EXPRESSIONS. USE THE PROPERTY OF EXPONENTS.

1. Simplify the problem: (-6x^4y^3)^2

Learn how to simplify the expression (-6x^4y^3)^2 using the power of a product property of exponents. This step-by-step guide covers exponent rules and is ideal for students in Grades 8-10.

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