Calculate (4×3×6×5)^4: Power of a Product Expression

To solve this problem, we'll follow these steps:

• Step 1: Identify the expression and factors inside the parentheses.
• Step 2: Apply the "Power of a Product" rule by distributing the exponent to each factor.
• Step 3: Write the expression in the expanded form.

Now, let's work through each step:
Step 1: The expression given is $(4 \times 3 \times 6 \times 5)^4$. The factors are 4, 3, 6, and 5.
Step 2: According to the "Power of a Product" rule, we need to apply the exponent 4 to each factor individually:
$\left(4 \times 3 \times 6 \times 5\right)^4 = 4^4 \times 3^4 \times 6^4 \times 5^4$.
Step 3: Therefore, the expression is expanded, and each base is raised to the power of 4.

The correct answer to the problem is $4^4 \times 3^4 \times 6^4 \times 5^4$.