Apply the Zero Power Rule of Integer Exponents to solve 63^0.(1 point)
63^0=
28 answers
63^0 = 1
2.3+(−1.478)^0=
Any number raised to the power of zero is always equal to 1. Therefore, (-1.478)^0 = 1.
2.3 + 1 = 3.3
2.3 + 1 = 3.3
−4^0⋅15=
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
1 * 15 = 15
wrong
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
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
Apply the Zero Power Rule of Integer Exponents to solve −4^0⋅15.(1 point)
−4^0⋅15=
−4^0⋅15=
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.
Therefore, -4^0 * 15 = 1 * 15 = 15.
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+
).
An equivalent expression to 4/3(−2+1^0) is 4/3(−2+
).
An equivalent expression to 4/3(-2+1^0) is 4/3(-2+1).
2(1.6^0+7)−4.9^0= .
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
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
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
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
The correct expression that would result in the answer of 1 is:
(−2.97)^0
(−2.97)^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=−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
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
The correct process of solving −30+4.5 is:
−30+4.5 = −25.5
−30+4.5 = −25.5
choose an answer
The answer is:
−30+4.5 = −25.5
−30+4.5 = −25.5
that is not an option
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
−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
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
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
The correct equivalent expression, when applying the Zero Power Rule, is:
75.3 + 4 * 9
75.3 + 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(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
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
The correct equivalent expression is:
12(9−0)+0
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)+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
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
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
−4(3+120)+150 = −4(15) + 150 = −60 + 150 = 90
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
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