Which of the following is developed to result in the answer of 1?(1 point)
Responses
3(8^0)
3 left parenthesis 8 superscript 0 baseline right parenthesis
(−2.97)^0
left parenthesis negative 2.97 right parenthesis superscript 0 baseline
5^0+9^0
5 superscript 0 baseline plus 9 superscript 0 baseline
13−(7.42)^0
The correct answer is: 5^0+9^0
Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
−30+4.5=−3+4.5=1.5
The correct answer is: −30+4.5=−3+4.5=1.5
Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
75.30+36
The correct answer is: 70+4⋅9
Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(9−1)+1
The correct answer is: 12(9−1)+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? (1 point)
Responses
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
The correct answer is: −4(3+120)+150 =−4(15)+15=−60+15=−45
To determine which of the given expressions results in the answer of 1, we need to simplify each expression and see which one equals 1. Let's go through each option:
Option 1: 3(8^0)
To simplify this expression, we need to evaluate 8^0 first. Any number raised to the power of 0 equals 1. So, 8^0 equals 1. Now, we substitute this back into the original expression:
3(1) = 3
The result is 3, not 1.
Option 2: (−2.97)^0
Similar to the previous expression, any number raised to the power of 0 equals 1. So, (-2.97)^0 equals 1. Therefore, the result of this expression is 1.
Option 3: 5^0 + 9^0
Again, any number raised to the power of 0 equals 1. So, both 5^0 and 9^0 equal 1. Now, we substitute these values back into the original expression:
1 + 1 = 2
The result is 2, not 1.
Option 4: 13−(7.42)^0
As discussed before, any number raised to the power of 0 equals 1. So, (7.42)^0 equals 1. Now, we can simplify this expression:
13 - 1 = 12
The result is 12, not 1.
Based on our analysis, the only expression that results in the answer of 1 is option 2: (−2.97)^0.