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
50+90
5 superscript 0 baseline plus 9 superscript 0 baseline
3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis
13−(7.42)0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline
Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−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)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=−3⋅0+4.5=0+4.5=4.5
The correct option is −30+4.5=−3⋅0+4.5=0+4.5=4.5
Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
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
Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1
12(9−1)−1
The correct option 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(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(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(3+1)+1=−4⋅4+1=−4⋅5=−20
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 4 times 5 equals negative 20
−4(3+120)+150=−4(15)+1=−60+1=−59
The correct option is −4(3+120)+150 =−4(15)+15=−60+15=−45.
To determine which of the given expressions results in the answer of 1, let's evaluate each expression one by one:
Expression 1: (-2.97)^0
To evaluate any number raised to the power of 0, the result is always 1. So the answer to this expression is 1.
Expression 2: 50 + 90
Adding 50 and 90 gives us 140. This expression does not result in the answer of 1.
Expression 3: 3(80)
Multiplying 3 and 80 gives us 240. This expression does not result in the answer of 1.
Expression 4: 13 - (7.42)^0
As mentioned before, any number raised to the power of 0 is always 1. Therefore, 7.42^0 is 1. Subtracting 1 from 13 gives us 12. So this expression does not result in the answer of 1.
Based on the evaluations, only Expression 1, which is (-2.97)^0, results in the answer of 1.