Zero Power Rule of Exponents Quick Check

Question

1 of 51 of 5 Items
Question
Which of the following is developed to result in the answer of 1?(1 point)
Responses

3(8^0)
3 left parenthesis 8 superscript 0 baseline right parenthesis

13−(7.42)^0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline

(−2.97)^0
left parenthesis negative 2.97 right parenthesis superscript 0 baseline

5^0+9^0

Answer 1

The Zero Power Rule of Exponents states that any non-zero number raised to the power of zero is equal to 1.

Now let's evaluate each option:

1. 3(8^0)

   • \(8^0 = 1\)
   • So, \(3(1) = 3\)

2. 13 - (7.42)^0

   • \( (7.42)^0 = 1\)
   • So, \(13 - 1 = 12\)

3. (-2.97)^0

   • \((-2.97)^0 = 1\)

4. 5^0 + 9^0

   • \(5^0 = 1\) and \(9^0 = 1\)
   • So, \(1 + 1 = 2\)

From the options above, the following values result in the answer of 1:

• (-2.97)^0

Hence, the correct response is: (−2.97)^0