Question

Apply the Zero Power Rule of Integer Exponents to solve 63^0.(1 point)

63^0=

Answer 1

[AI-generated answer — Bot GPT 3.5]

63^0 = 1

Answer 2

2.3+(−1.478)^0=

Answer 3

[AI-generated answer — Bot GPT 3.5]

Any number raised to the power of zero is always equal to 1. Therefore, (-1.478)^0 = 1.

2.3 + 1 = 3.3

Answer 4

−4^0⋅15=

Answer 5

[AI-generated answer — Bot GPT 3.5]

According to the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. Therefore, (-4)^0 = 1.

1 * 15 = 15

Answer 6

wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake.

According to the Order of Operations, exponentiation is done before multiplication. Therefore, we need to evaluate (-4)^0 first.

(-4)^0 = 1

Then we can multiply:

1 * 15 = 15

So, -4^0 * 15 = 15

Answer 8

Apply the Zero Power Rule of Integer Exponents to solve −4^0⋅15.(1 point)

−4^0⋅15=

Answer 9

[AI-generated answer — Bot GPT 3.5]

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. Hence, (-4)^0 = 1.

Therefore, -4^0 * 15 = 1 * 15 = 15.

Answer 10

Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1^0).(1 point)

An equivalent expression to 4/3(−2+1^0) is 4/3(−2+
).

Answer 11

[AI-generated answer — Bot GPT 3.5]

An equivalent expression to 4/3(-2+1^0) is 4/3(-2+1).

Answer 12

2(1.6^0+7)−4.9^0= .

Answer 13

[AI-generated answer — Bot GPT 3.5]

According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, 1.6^0 = 1 and 4.9^0 = 1.

We can simplify the expression using this information:

2(1.6^0 + 7) - 4.9^0 = 2(1 + 7) - 1

= 2(8) - 1

= 16 - 1

= 15

Answer 14

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

Answer 15

[AI-generated answer — Bot GPT 3.5]

The correct expression that would result in the answer of 1 is:

(−2.97)^0

Answer 16

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=−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
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5

−3^0+4.5=(−3)^0+4.5=1+4.5=5.5

Answer 17

[AI-generated answer — Bot GPT 3.5]

The correct process of solving −30+4.5 is:

−30+4.5 = −25.5

Answer 18

choose an answer

Answer 19

[AI-generated answer — Bot GPT 3.5]

The answer is:

−30+4.5 = −25.5

Answer 20

that is not an option

Answer 21

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Based on the options provided, the correct process of solving −30+4.5 is:

−30+4.5 = −3 + 4.5 = 1.5

Answer 22

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

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

7/0+4⋅9

Answer 23

[AI-generated answer — Bot GPT 3.5]

The correct equivalent expression, when applying the Zero Power Rule, is:

75.3 + 4 * 9

Answer 24

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

Answer 25

[AI-generated answer — Bot GPT 3.5]

The correct equivalent expression is:

12(9−0)+0

Answer 26

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)+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
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)+15=−60+15=−45

Answer 27

[AI-generated answer — Bot GPT 3.5]

The correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule is:

−4(3+120)+150 = −4(15) + 150 = −60 + 150 = 90

Answer 28

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)+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
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)+15=−60+15=−45