Which of the following is developed to result in the answer of 1?
A 3 (8^0)
B 5^0 + 9^0
C (-2.97)^0
D 13 - (7.42)^0
The correct answer is C (-2.97)^0.
Any number raised to the power of 0 is equal to 1. Therefore, the expression (-2.97)^0 will result in 1.
To determine which of the given options will result in the answer of 1, let's evaluate each option step by step:
A. 3 (8^0)
To evaluate 8^0, we know that any number (except 0) raised to the power of 0 is equal to 1. Therefore, 8^0 = 1.
Now, we multiply this result by 3:
3 * 1 = 3
B. 5^0 + 9^0
Similar to the previous step, any number (except 0) raised to the power of 0 is equal to 1. So both terms in this expression will evaluate to 1.
Therefore, 5^0 + 9^0 = 1 + 1 = 2.
C. (-2.97)^0
Again, any number (except 0) raised to the power of 0 is equal to 1. Therefore, (-2.97)^0 = 1.
D. 13 - (7.42)^0
As explained earlier, any number (except 0) raised to the power of 0 is equal to 1. So, (7.42)^0 = 1.
Therefore, 13 - (7.42)^0 = 13 - 1 = 12.
Based on the evaluations, the option that will result in the answer of 1 is C. (-2.97)^0.
To determine which expression among A, B, C, and D results in the answer of 1, we can calculate the value of each expression. Let's go through them one by one:
A: 3(8^0)
To evaluate this expression, we need to understand the exponent rule that any number (except for zero) raised to the power of 0 is equal to 1. Thus, 8^0 equals 1. When we substitute this value into the expression, we get 3 * 1, which is equal to 3.
B: 5^0 + 9^0
Similar to the previous expression, when a number is raised to the power of 0, it also equals 1. So, both 5^0 and 9^0 are equal to 1. By substituting these values into the expression, we get 1 + 1, which equals 2.
C: (-2.97)^0
Again, any number raised to the power of 0 is equal to 1. Thus, (-2.97)^0 also equals 1.
D: 13 - (7.42)^0
Once more, when we raise any non-zero number to the power of 0, it equals 1. So, (7.42)^0 is equal to 1. By subtracting 1 from 13, we get 12.
In conclusion, the only expression that results in the answer of 1 is C: (-2.97)^0.