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(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=−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
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)+1=−60+1=−59
To solve the expression −4(3+120)+150 using the Zero Power Rule, follow these steps:
Step 1: Simplify the expression within the parentheses.
3+120 = 123
Step 2: Substitute the simplified expression back into the original equation.
−4(123) + 150
Step 3: Multiply -4 and 123.
−492 + 150
Step 4: Add -492 and 150.
−342
Therefore, the correct answer is −4(3+120)+150 = −342.
To solve the expression −4(3+120)+150 using the Zero Power Rule, we simplify the inside of the parentheses first.
1. Evaluate 3 + 120 = 123.
Now we have −4(123)+150.
2. Next, by applying the Zero Power Rule, simplify -4(123) to -4 * 123 = -492.
Now we have -492 + 150.
3. Finally, perform the addition: -492 + 150 = -342.
Therefore, the correct process of solving −4(3+120)+150 using the Zero Power Rule is −4(3+120)+150 = -342.
Among the given choices:
- Option 1 (-4(3+120)+150=−4(15)+1=−60+1=−59) is incorrect because it does not accurately evaluate the expression.
- Option 2 (-4(3+120)+150 =−4(15)+15=−60+15=−45) is incorrect because it also does not properly evaluate the expression.
- Option 3 (-4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15) is incorrect because it results in -15, not -342.
- Option 4 (-4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20) is incorrect because it incorrectly evaluates the expression as -20.
Therefore, none of the provided options show the correct process of solving −4(3+120)+150 using the Zero Power Rule.