https://r2.erweima.ai/mathbot/image/17266302886612sk1jmp1.jpg

Let's analyze the expression from the image:

The expression given is:

\[
4(2x - 1)^0 (5x^2)
\]

### Step-by-Step Simplification:

1. **Exponent of Zero**:
   - Any expression raised to the power of 0 equals 1. Hence:
   \[
   (2x - 1)^0 = 1
   \]
   So, the original expression simplifies to:
   \[
   4 \times 1 \times 5x^2 = 4 \times 5x^2 = 20x^2
   \]

Thus, the simplified expression is \( 20x^2 \).

### Correct Answer:
Looking at the options, the correct answer is:

**c. 20x²**

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. How does the property of zero exponents apply to general expressions?
2. What happens if the exponent was negative instead of zero?
3. Can you simplify \(4(2x - 1)^2(5x^2)\)?
4. What is the general rule for multiplying powers of the same base?
5. How would you handle fractional exponents in a similar scenario?

**Tip**: Always check for exponents of zero in an expression, as they simplify to 1, making calculations easier.

Escribe sin los exponentes negativos o nulos las expresiones que se dan: 4(2x - 1)^0(5x^2)

Learn how to simplify the expression 4(2x - 1)^0(5x^2) by applying the zero exponent rule and multiplication of variables. This problem is suitable for students in Grades 8-10 and covers key concepts of exponentiation.

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