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

(-2.97) to the power of 0
5 to the power of 0 + 9 to the power of 0

13 - (7.42)^0
3 (8^0)

1 answer

To determine which of the options results in the answer of 1, let's evaluate each one:

  1. (-2.97) to the power of 0: Any non-zero number raised to the power of 0 is equal to 1. Therefore, \((-2.97)^0 = 1\).

  2. 5 to the power of 0 + 9 to the power of 0: Both \(5^0\) and \(9^0\) equal 1. Thus, \(5^0 + 9^0 = 1 + 1 = 2\).

  3. 13 - (7.42)^0: \( (7.42)^0 = 1\), so \(13 - (7.42)^0 = 13 - 1 = 12\).

  4. 3 (8^0): \( (8^0) = 1\), so \(3 \times (8^0) = 3 \times 1 = 3\).

Now, summarizing the results:

  1. (-2.97)^0 = 1
  2. 5^0 + 9^0 = 2
  3. 13 - (7.42)^0 = 12
  4. 3 (8^0) = 3

Thus, the only expression that results in the answer of 1 is (-2.97) to the power of 0.