Question

Which of the following expressions can be simplified to give an answer of 1? Show your work. (1 point) Responses 15−(9.1)0 15 minus 9 point 1 to the 0 power 110+240 11 to the 0 power plus 24 to the 0 power 2(80) 2 times open paren 8 to the 0 power close paren (−5.22)0

Answer 1

To determine which of the given expressions can be simplified to give an answer of 1, we can evaluate each expression one by one.

1. **Expression: \( 15 - (9.1)^0 \)**
- Recall that any non-zero number raised to the power of 0 is equal to 1. Therefore, \( (9.1)^0 = 1 \).
- So, \( 15 - 1 = 14 \).
- This expression does **not** simplify to 1.

2. **Expression: \( 11^0 + 24^0 \)**
- Again using the property that any non-zero number raised to the power of 0 is equal to 1, we have \( 11^0 = 1 \) and \( 24^0 = 1 \).
- Thus, \( 1 + 1 = 2 \).
- This expression does **not** simplify to 1.

3. **Expression: \( 2(8^0) \)**
- As before, \( 8^0 = 1 \).
- Therefore, \( 2 \times 1 = 2 \).
- This expression does **not** simplify to 1.

4. **Expression: \( (-5.22)^0 \)**
- In this case, since \(-5.22\) is a non-zero number, we have \( (-5.22)^0 = 1 \).
- Thus, this expression simplifies to 1.

After evaluating all the given expressions, the only one that simplifies to 1 is:

**Answer**: \( (-5.22)^0 \) simplifies to 1.