Question

Which of the following expressions can be simplified to give an answer of 1?

Show your work.

(1 point)
Responses

2(8^0)

15−(9.1)^0

11^0+24^0

(−5.22)^0

Answer 1

To determine which of the expressions can be simplified to give an answer of 1, we need to recall a fundamental property of exponents: any non-zero number raised to the power of 0 is equal to 1.

Let's evaluate each expression:

1. **\(2(8^0)\)**:
- Calculate \(8^0\):
\[
8^0 = 1
\]
- Now substitute into the expression:
\[
2(1) = 2
\]
- This does not simplify to 1.

2. **\(15−(9.1)^0\)**:
- Calculate \(9.1^0\):
\[
9.1^0 = 1
\]
- Now substitute into the expression:
\[
15 - 1 = 14
\]
- This does not simplify to 1.

3. **\(11^0 + 24^0\)**:
- Calculate \(11^0\) and \(24^0\):
\[
11^0 = 1 \quad \text{and} \quad 24^0 = 1
\]
- Now substitute into the expression:
\[
1 + 1 = 2
\]
- This does not simplify to 1.

4. **\((-5.22)^0\)**:
- Calculate \((-5.22)^0\):
\[
(-5.22)^0 = 1
\]
- This simplifies to 1.

After evaluating all the expressions, we find that the only expression that simplifies to give an answer of 1 is:

\[
\boxed{(-5.22)^0}
\]