Select all the expressions with a value of less than one.
	x0
	(–15)0
	–(15)0
	–(150)
	–(0.23)0,

Let's evaluate each expression:

1. **x⁰**  
   Any non-zero number raised to the power of 0 is 1. So, \( x^0 = 1 \) (assuming \( x \neq 0 \)).

2. **(–15)⁰**  
   Any number raised to the power of 0 is 1, so \( (–15)^0 = 1 \).

3. **–(15)⁰**  
   First, calculate \( 15^0 = 1 \), then apply the negative sign:  
   \[ –(15)^0 = –1 \]

4. **–(150)**  
   This is just the negative of 150:  
   \[ –(150) = –150 \]

5. **–(0.23)⁰**  
   First, calculate \( 0.23^0 = 1 \), then apply the negative sign:  
   \[ –(0.23)^0 = –1 \]

### Now, to determine which expressions have a value less than 1:

- **x⁰ = 1** → not less than 1
- **(–15)⁰ = 1** → not less than 1
- **–(15)⁰ = –1** → less than 1
- **–(150) = –150** → less than 1
- **–(0.23)⁰ = –1** → less than 1

### Final Answer:
The expressions with a value of less than one are:
- **–(15)⁰**
- **–(150)**
- **–(0.23)⁰**

Would you like more details on any part of this solution?

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Here are 5 related questions to explore:

1. What is the value of \( 5^0 \)?
2. How does the negative sign outside the parentheses affect an exponentiation?
3. Is \( x^0 = 1 \) true for any \( x \), even if \( x \) is negative?
4. What happens if you raise a fraction to the power of zero?
5. What are the properties of exponents when the base is negative?

**Tip:** Remember, any non-zero number raised to the power of zero is always 1, but be cautious with negative signs outside parentheses.

Select all the expressions with a value of less than one.

x⁰
(–15)⁰
–(15)⁰
–(150)
–(0.23)⁰

Explore how to evaluate expressions with exponents and negative values. This problem involves determining which expressions have a value of less than one by applying exponentiation rules and considering the effect of negative signs. Suitable for students in Grades 6-8.

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