Which of the following is an equivalent expression to 12(9−70)+(−29)0 ? (1 point) Responses 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 Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0 12(9−1)−1
The equivalent expression to 12(9−70)+(−29)0 is 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(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=−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
The correct process of solving −4(3+120)+150 using the Zero Power Rule is:
−4(3+1)+1=−4⋅4+1=−16+1=−15
To find the equivalent expression to 12(9−70)+(−29)0, we need to simplify each term.
First, we can simplify 9−70, which equals -61.
Next, we can simplify 12(9−70) by multiplying 12 with -61, which equals -732.
Now, (−29)0 equals 0 since any number multiplied by zero is zero.
Therefore, the given expression simplifies to -732+0 which is equal to -732.
So, the equivalent expression is 12(9−70)+(−29)0 = -732.
To find the equivalent expression to 12(9−70)+(−29)0, we can start by simplifying the given expression step by step.
Step 1: Simplify the expression inside the parentheses.
9−70 = -61
Now we have: 12(-61)+(−29)0
Step 2: Simplify the multiplication.
12(-61) = -732
Now we have: -732+(−29)0
Step 3: Simplify the addition.
-732+(−29)0 = -732+0
Step 4: Simplify the addition.
-732+0 = -732
Therefore, the equivalent expression to 12(9−70)+(−29)0 is -732.