What is the correct simplification of the expression 4x^2 × 6x × 5x^2 × 5?

Simplifying the Expression: 4x² × 6x × 5x² × 5

To simplify the expression 4x² × 6x × 5x² × 5, we’ll follow the process step by step.

Step 1: Multiply the Coefficients

First, let’s look at the coefficients (the numbers in front of the variables): 4, 6, and 5.

• Multiply them together: 4 × 6 = 24
• Then multiply the result by 5: 24 × 5 = 120

So, the product of the coefficients is 120.

Step 2: Combine the Variable Parts

Next, we focus on the variable parts. We have:

• x²
• x (which is the same as x¹)
• x²

When multiplying variables with the same base, we add their exponents:

• x² × x¹ × x² = x²⁺¹⁺² = x⁵

Step 3: Combine Everything Together

Putting it all together, we have:

• 120 (from our coefficients)
• x⁵ (from our variable parts)

The final simplified expression is:

Final Answer:

120x⁵