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 $1$.