Question

Zero Power Rule of Exponents Quick Check
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

are you sure?

Answer 2

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 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 \(1\).