bot 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(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
Zero Power Rule of Exponents Quick Check
5 of 55 of 5 Items
Question
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
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
jus tell me the written answer
The correct process of solving −4(3+120)+150 using the Zero Power Rule is:
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
To find the equivalent expression to 12(9−70)+(−29)0, we will simplify the expression step by step.
Step 1: Simplify the expression inside the parentheses:
9 - 70 = -61
Step 2: Multiply 12 by -61:
12(-61) = -732
Step 3: Simplify the expression (-29)0:
(-29)0 = 0
Step 4: Add the results of step 2 and step 3:
-732 + 0 = -732
Therefore, the equivalent expression to 12(9−70)+(−29)0 is -732.
To find the equivalent expression to 12(9−70)+(−29)0, we need to simplify the expression by performing the calculations inside the parentheses first.
First, calculate 9−70, which equals -61.
Next, calculate -29 * 0, which equals 0.
Substituting these values back into the expression, we get:
12(-61) + 0
Now, simplify the expression further by multiplying 12 with -61:
-732 + 0
Finally, add the two values together to get the final result:
-732
Therefore, the equivalent expression to 12(9−70)+(−29)0 is -732.