Zero Power Rule of Exponents Quick Check

Question

Math 8 Q1 (Pre-Algebra) / Exponent Rules

Which of the following is develWhich 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

13−(7.42)0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline

3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis

50+90'oped to result in the answer of 1?(1 point)
Responses

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+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

Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses

70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9

75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9

71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9

75.30+36

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(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1

12(9−0)+0

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(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
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

Answer 1

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

Answer 2

what is the answer to each of the questions

Answer 3

The answer to each question is as follows:

1. Which of the following is developed to result in the answer of 1?
The correct answer is 3(80).

2. Which of the following shows the correct process of solving −30+4.5?
The correct answer is −30+4.5=−3⋅0+4.5=0+4.5=4.5.

3. Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule?
The correct answer is 75.30+36.

4. Which of the following is an equivalent expression to 12(9−70)+(−29)0?
The correct answer is 12(9−0)+0.

5. Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule?
The correct answer is −4(3+120)+150 =−4(15)+15=−60+15=−45.