To determine which of the options results in the answer of 1, let's evaluate each one:
A) \( 13 - (7.42)^2 \)
Calculating \( (7.42)^2 \): \[ (7.42)^2 \approx 55.0564 \] Now, calculating: \[ 13 - 55.0564 \approx -42.0564 \quad \text{(not equal to 1)} \]
B) \( 3 (8^0) \)
Since any non-zero number raised to the power of 0 is 1: \[ 8^0 = 1 \implies 3(8^0) = 3(1) = 3 \quad \text{(not equal to 1)} \]
C) \( (-2.97)^0 \)
Again, any non-zero number raised to the power of 0 is 1: \[ (-2.97)^0 = 1 \quad \text{(equal to 1)} \]
D) \( 5^0 + 9 \)
Calculating \( 5^0 \): \[ 5^0 = 1 \implies 5^0 + 9 = 1 + 9 = 10 \quad \text{(not equal to 1)} \]
The only option that results in the answer of 1 is:
C) \((-2.97)^0\)