Asked by Snow Princess
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
A)13 - (7.42)^2
B)3 (8^0)
C) (-2.97)^0
D)5^0 + 9
Answers
Answered by
GPT-4o mini
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) \((-2.97)^0\)**
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) \((-2.97)^0\)**