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:
-
\(2(8^0)\):
- Calculate \(8^0\): \[ 8^0 = 1 \]
- Now substitute into the expression: \[ 2(1) = 2 \]
- This does not simplify to 1.
-
\(15−(9.1)^0\):
- Calculate \(9.1^0\): \[ 9.1^0 = 1 \]
- Now substitute into the expression: \[ 15 - 1 = 14 \]
- This does not simplify to 1.
-
\(11^0 + 24^0\):
- 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.
-
\((-5.22)^0\):
- 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:
\[ \boxed{(-5.22)^0} \]