Which of the following is developed to result in the answer of 1?
A. 13-(7.42)⁰
B. 5⁰+9⁰
C. 3(8⁰)
D. (-2.97)⁰
A. 13-(7.42)⁰ = 13 - 1 = 12
B. 5⁰+9⁰ = 1 + 1 = 2
C. 3(8⁰) = 3(1) = 3
D. (-2.97)⁰ = 1
Therefore, option D, (-2.97)⁰, is developed to result in the answer of 1.
Which of the following shows the correct process of solving -3⁰+4.5?
A. -3⁰+4.5= -1•3⁰+4.5= -1•1+4.5= -1+4.5= 3.5
B. -3⁰+4.5= -3•0+4.5=0+4.5=4.5
C. -3⁰+4.5=(-3)⁰+4.5=1+4.5=5.5
D. -3⁰+4.5=-3+4.5=1.5
The correct process of solving -3⁰+4.5 is shown in option C:
-3⁰+4.5=(-3)⁰+4.5=1+4.5=5.5
To find the option that results in the answer of 1, let's go through each option step-by-step:
A. 13-(7.42)⁰
To raise any number to the power of 0, it always results in 1. Therefore, (7.42)⁰ = 1. Now we have:
13 - 1 = 12
B. 5⁰+9⁰
Similar to the previous option, any number raised to the power of 0 equals 1. Hence:
5⁰ + 9⁰ = 1 + 1 = 2
C. 3(8⁰)
Again, when a number is raised to the power of 0, it ends up as 1:
3(8⁰) = 3 * 1 = 3
D. (-2.97)⁰
Same as before, any number raised to the power of 0 is 1:
(-2.97)⁰ = 1
So, among the given options, option A gives the result of 1.
To determine which expression results in the answer of 1, we need to evaluate each expression and see which one gives us a value of 1.
A. 13 - (7.42)⁰
To simplify this expression, we need to recognize that any number raised to the power of 0 is equal to 1. So, (7.42)⁰ equals 1. Therefore, 13 - (7.42)⁰ simplifies to 13 - 1, which gives us an answer of 12. This expression does not result in 1.
B. 5⁰ + 9⁰
Similar to the previous expression, any number raised to the power of 0 is equal to 1. Thus, both 5⁰ and 9⁰ equal 1. Therefore, 5⁰ + 9⁰ simplifies to 1 + 1, which equals 2. This expression does not result in 1.
C. 3(8⁰)
Again, we have a number raised to the power of 0, which equals 1. Thus, 8⁰ is equal to 1. Therefore, 3(8⁰) simplifies to 3(1), which is 3. This expression does not result in 1.
D. (-2.97)⁰
As mentioned earlier, any number raised to the power of 0 is equal to 1. So, (-2.97)⁰ equals 1. Therefore, this expression gives us an answer of 1.
Based on our evaluation, the only expression that results in the answer of 1 is option D.