Which of the following is developed to result in the answer of 1?(1 point)
(−2.97)^0
left parenthesis negative 2.97 right parenthesis superscript 0 baseline
3(8^0)
3 left parenthesis 8 superscript 0 baseline right parenthesis
13−(7.42)^0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline
5^0+9^0
5^0+9^0
Which of the following shows the correct process of solving −3^0+4.5?(1 point)
−3^0+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
−3^0+4.5=−1⋅3^0+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
−3^0+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
−3^0+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
Which of the following is an equivalent expression to 7/(−5.3)^0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
7/1+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
7/0+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
7/5.3^0+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
7/5.3+4⋅9
7/1+4⋅9
This is the equivalent expression when applying the Zero Power Rule.
Which of the following is an equivalent expression to 12(9−7^0)+(−29)^0? (1 point)
1/2(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
1/2(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
1/2(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1
1/2(9−0)+0
1/2(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)
−4(3+12^0)+15^0 =−4(15)+15=−60+15=−45
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
−4(3+12^0)+15^0=−4(15)+1=−60+1=−59
−4(3+12^0)+15^0=−4(3+1)+1=−16+1=−15
To determine which of the given expressions results in the answer of 1, we can simplify each expression step by step.
1) (−2.97)^0:
Any number raised to the power of 0 is equivalent to 1. Therefore, (-2.97)^0 = 1.
2) 3(8^0):
8 raised to the power of 0 is also equal to 1. Thus, 8^0 = 1.
Next, we multiply 3 by 8^0:
3 * 1 = 3.
So, 3(8^0) = 3.
3) 13−(7.42)^0:
As we mentioned earlier, any number raised to the power of 0 is 1. Thus, (7.42)^0 = 1.
Now, we subtract 1 from 13:
13 - 1 = 12.
Hence, 13−(7.42)^0 = 12.
4) 5^0+9^0:
Again, any number raised to the power of 0 is equal to 1.
Therefore, 5^0 = 1 and 9^0 = 1.
Now, we can add 1 and 1:
1 + 1 = 2.
So, 5^0+9^0 = 2.
To summarize:
- The expression (−2.97)^0 results in the answer of 1.
- The expression 3(8^0) results in the answer of 3.
- The expression 13−(7.42)^0 results in the answer of 12.
- The expression 5^0+9^0 results in the answer of 2.