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

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

3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis

50+90
5 superscript 0 baseline plus 9 superscript 0 baseline

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

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of 0 equals 1. Let’s analyze each option:

1. (−2.97)0: This results in 1 (since any non-zero number raised to the power of 0 is 1).

2. 3(80): Here, this means 3 times 1 (as 8^0 = 1), which results in 3.

3. 50+90: This means 1 + 1 (since both 5^0 and 9^0 equal 1), which results in 2.

4. 13−(7.42)0: This means 13 - 1 (since 7.42^0 = 1), which results in 12.

Therefore, the only option developed to result in the answer of 1 is:

(−2.97)0.

Answer 2

are you sure?

Answer 3

Yes, I'm sure. Let's clarify the reasoning for each option again to ensure accuracy regarding the Zero Power Rule:

1. (−2.97)0: According to the zero exponent rule, since \((-2.97)\) is a non-zero number, \((-2.97)^0 = 1\).

2. 3(80): Here, \(8^0\) equals \(1\). Therefore, \(3(8^0) = 3 \times 1 = 3\), not \(1\).

3. 50 + 90: Both \(5^0\) and \(9^0\) equal \(1\). Thus, \(5^0 + 9^0 = 1 + 1 = 2\), not \(1\).

4. 13 - (7.42)0: Here, \(7.42^0\) equals \(1\). Thus, \(13 - (7.42^0) = 13 - 1 = 12\), not \(1\).

The option that specifically results in 1 is indeed (−2.97)0, as this is the only instance here where the expression evaluates directly to 1. All other options evaluate to something other than \(1\).