Which of the following is developed to result in the answer of 1?
A: (-2.97)⁰
B: 13 - (7.42)⁰
C: 3 (8⁰)
D: 5⁰ + 9⁰
1. (-2.97)^0***
2. I don’t wanna type it, it’s the one ending in 3.5
3. Listen to bot
4. 1/2(9-1)+1
5.the one ending in 15
100% trust me
Don’t listen to bot I got a 1/5
The correct answer is C: -3⁰ + 4.5 = -3 + 4.5 = 1.5.
Since any number (except 0) raised to the power of 0 is equal to 1, -3⁰ equals 1. Therefore, we can simplify the expression to 1 + 4.5, which equals 5.5. So, Option B: -3⁰ + 4.5 = (-3)⁰ + 4.5 = 1 + 4.5 = 5.5 is incorrect.
Option A: -3 + 4.5 = -3.0 + 4.5 = 4.5 is also incorrect since it does not involve the power of 0.
Option C: -3⁰ + 4.5 = -3 + 4.5 = 1.5 is the correct process of evaluating the expression.
Option D: -3⁰ + 4.5 = -1× 3⁰ + 4.5 = -1 + 4.5 = -1 + 4.5 = 3.5 is incorrect as it incorrectly assumes that -3⁰ is equal to -1.
Which of the following is an equivalent expression to 7/ (-5.3)⁰ + 4.9 when applying the Zero Power Rule?
A: 7/5.3 + 4×9
B: 7/0 + 4 ×9
C: 7/5.3⁰ + 36
D: 7/1 + 4 × 9
The correct answer is D: 7/1 + 4 × 9.
According to the Zero Power Rule, any nonzero number raised to the power of zero is equal to 1. In this case, (-5.3)⁰ = 1. Therefore, the expression 7/ (-5.3)⁰ can be simplified to 7/1.
The expression 7/1 + 4 × 9 is equivalent to 7 + 36, which simplifies to 43. Therefore, option D is the correct equivalent expression when applying the Zero Power Rule.
Options A, B, and C do not apply the Zero Power Rule correctly, as none of them simplify the expression correctly to 7/1.
Which of the following is an equivalent expression to 1/2(9 -7⁰) + (-29)⁰?
A: 1/2(9 - 0) + 0
B: 1/2 (9-1) + 1
C: 1/2 (9 - 1) - 1
D: 1/2 (2) + 1
Which of the following shows the correct process of solving -4 (3 +12⁰) + 15⁰ by generating an equivalent expression using the Zero Power Rule?
A: -4 (3 + 12⁰) + 15⁰ = -4 (15) +15 = -60 + 15 = -45
B: -4 (3+12⁰) + 15⁰ = -4 (3+1) + 1 = -4 × 4 + 1 = -16 +1 = -15
C: -4 (3+12⁰) + 15⁰ = -4 (3+1) +1 = -4 ×4 +1 = -4 × 5 = -20
D: -4 (3 +12⁰) + 15⁰ = -4 (15) + 1 = -60 +1 = -59
The correct answer is D: 5⁰ + 9⁰.
When any number is raised to the power of zero, it results in 1. Thus, 5⁰ = 1 and 9⁰ = 1. Adding these two together, we get 1 + 1 = 2.
Which of the following shows the correct process of solving -3⁰ + 4.5?
A: -3 + 4.5 = -3.0 + 4.5 = 4.5
B: -3⁰ + 4.5 = (-3)⁰ + 4.5 = 1 + 4.5 = 5.5
C: -3⁰ + 4.5 = -3 + 4.5 = 1.5
D: -3⁰ + 4.5 = -1× 3⁰ + 4.5 = -1 + 4.5 = -1 + 4.5 = 3.5
The correct answer is A: 1/2(9 - 0) + 0.
By applying the Zero Power Rule, we know that any number (except 0) raised to the power of 0 is equal to 1. Therefore, (-7)⁰ = 1.
Simplifying the expression, we get:
1/2(9 - 7⁰) + (-29)⁰ = 1/2(9 - 1) + 1
= 1/2(8) + 1
= 4 + 1
= 5
Therefore, option A: 1/2(9 - 0) + 0 is the correct equivalent expression.
Options B, C, and D incorrectly apply the Zero Power Rule and do not simplify the expression correctly.