Which of the following is an equivalent expression to 1/2 (9 - 7^0) + (-29)^0
An exponent of 0 indicates that the number is being raised to the power of 0, which equals 1. Using this information, we can simplify the given expression:
1/2 (9 - 7^0) + (-29)^0
= 1/2 (9 - 1) + 1
= 1/2 (8) + 1
= 4 + 1
= 5
Therefore, the equivalent expression is 5.
Which of the following shows the correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule?
The Zero Power Rule states that any number (except 0) raised to the power of 0 is equal to 1. Using this rule, we can simplify the given expression:
−4(3+12^0)+15^0
= -4(3 + 1) + 1
= -4(4) + 1
= -16 + 1
= -15
Therefore, the correct process of solving the expression −4(3+12^0)+15^0 using the Zero Power Rule is to replace 12^0 with 1, simplify the expression inside the parentheses, and then perform the remaining operations. The final result is -15.
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(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)+1=−60+1=−59
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(3+1)+1=−4⋅4+1=−16+1=−15
Therefore, the correct response is:
−4(3+120)+150 =−4(3+12^0)+15^0=−4(15)+1=−60+1=−59
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
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
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
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
The correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule is:
−4(3+12^0)+15^0 = −4(3+1)+1 = −4⋅4+1 = −16+1 = −15
Therefore, the correct response is:
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
Which of the following shows the correct process of solving −4(3+12^0)+15^0 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=−4⋅5=−20
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
−4(3+12^0)+15^0=−4(15)+1=−60+1=−59
The correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule is:
−4(3+12^0)+15^0 =−4(3+1)+1=−4⋅4+1=−16+1=−15
Therefore, the correct response is:
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
To simplify the given expression, let's break it down step by step.
Step 1: Evaluate the exponent
In the expression (-29)^0, any number raised to the power of 0 is always equal to 1. Therefore, (-29)^0 is equal to 1.
So now we have: 1/2 (9 - 7^0) + 1
Step 2: Evaluate any remaining exponent
The only remaining exponent in the expression is 7^0. Similarly to (-29)^0, any number raised to the power of 0 is always equal to 1. Therefore, 7^0 is also equal to 1.
So now we have: 1/2 (9 - 1) + 1
Step 3: Perform the subtraction
In the expression (9 - 1), subtracting 1 from 9 gives us 8.
So now we have: 1/2 (8) + 1
Step 4: Perform the multiplication
In the expression 1/2 (8), multiplying 1/2 by 8 gives us 4.
So now we have: 4 + 1
Step 5: Perform the addition
In the expression 4 + 1, adding 4 and 1 gives us 5.
Therefore, the equivalent expression to 1/2 (9 - 7^0) + (-29)^0 is 5.