https://file.aiquickdraw.com/mathbot/file/1726438961582ym2ojdwh.jpg

Let's evaluate both expressions shown in the image.

### Expression 1: 
\[
3 \left(\frac{2}{7}\right)^0
\]
According to the zero exponent rule, any non-zero number raised to the power of 0 is 1. Therefore:
\[
\left(\frac{2}{7}\right)^0 = 1
\]
Now multiply by 3:
\[
3 \times 1 = 3
\]
So, the value of the first expression is **3**.

### Expression 2:
\[
(-2)^0
\]
Again, applying the zero exponent rule:
\[
(-2)^0 = 1
\]
So, the value of the second expression is **1**.

### Final Answers:
- \( 3 \left(\frac{2}{7}\right)^0 = 3 \)
- \( (-2)^0 = 1 \)

Would you like more details or further clarifications?

Here are 5 questions related to exponents:
1. What happens when a fraction is raised to a negative power?
2. What is the result of raising any base (including negative numbers) to the power of 1?
3. How does raising a number to a fractional exponent relate to roots?
4. Can you apply the zero exponent rule to 0 itself? Why or why not?
5. What is the difference between \( (-2)^2 \) and \( -2^2 \)?

**Tip**: Always remember that the zero exponent rule only applies to non-zero numbers.

Evaluate the expressions: 3(2/7)^0 and (-2)^0

Learn how to evaluate expressions with exponents, focusing on the zero exponent rule. This problem involves two expressions: 3(2/7)^0 and (-2)^0, demonstrating the use of the zero exponent theorem. Suitable for middle school students in Grades 6-8.

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