Question

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

Answer 1

To evaluate the expressions and determine which have a value of less than one, let's analyze each one:

1. **\( x^0 \)**: For any nonzero \( x \), this equals \( 1 \). If \( x = 0 \), this expression is undefined. So, we can't conclude anything specific about this expression without more information about \( x \).

2. **\( (-15)^0 \)**: Any nonzero number raised to the power of \( 0 \) equals \( 1 \). Therefore, this expression equals \( 1 \).

3. **\( -(15)^0 \)**: Again, \( (15)^0 = 1 \), so this equals \( -1 \).

4. **\( -(150) \)**: This evaluates to \( -150 \), which is less than \( 1 \).

5. **\( -(0.23)^0 \)**: \( (0.23)^0 \) is \( 1 \), so this expression equals \( -1 \).

Now, summarizing the results:
- \( x^0 \) is \( 1 \) (if \( x \neq 0\)) or undefined.
- \( (-15)^0 = 1 \)
- \( -(15)^0 = -1 \) (which is less than \( 1 \))
- \( -(150) = -150 \) (which is less than \( 1 \))
- \( -(0.23)^0 = -1 \) (which is less than \( 1 \))

Thus, the expressions with a value of less than one are:
- \( -(15)^0 \)
- \( -(150) \)
- \( -(0.23)^0 \)