which of the following is developed to result in the answer of 1?

A)13 - (7.42)^2
B)3 (8^0)
C) (-2.97)^0
D)5^0 + 9

1 answer

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) \((-2.97)^0\)

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