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(3+1)+1=−4⋅4+1=−16+1=−15
−4(3+120)+150=−4(15)+1=−60+1=−59
−4(3+120)+150 =−4(15)+15=−60+15=−45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
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)
are you sure
I apologize for the confusion. Let me reevaluate the options and provide you with the correct solution.
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(123)+150 = −492+150 = −342
So, the correct option is: −4(3+120)+150 = −4(123)+150 = −492+150 = −342.
Which of the following is an equivalent expression to 12(9−70)+(−29)0
? (1 point)
Responses
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 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(2)+1
To solve the expression −4(3+120)+150 using the Zero Power Rule, we first simplify the expression within the parentheses. We can do this by performing the addition inside the parentheses.
The expression becomes: -4(123) + 150
Next, we apply the Zero Power Rule, which states that any number raised to the power of zero is equal to 1. In this case, we are multiplying -4 by the result of (123)^0.
Since any number raised to the power of zero equals 1, we can rewrite the expression as: -4(1) + 150
Multiplying -4 by 1 gives us: -4 + 150
Finally, we perform the addition and get the final result: 146.
Based on the given options, none of them accurately shows the correct process or the final answer.
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)+150=−60+150=90
I apologize for the confusion in my previous response. The Zero Power Rule does not apply to the given expression, as it involves raising a number to the power of zero. Therefore, none of the given options show the correct process of solving the expression using the Zero Power Rule. Instead, the correct process of solving −4(3+120)+150 involves simplifying the expression within the parentheses first, then applying the distributive property and performing the multiplication and addition/subtraction in the correct order.
−4(3+120)+150 = -4(123) + 150 (simplify the expression within the parentheses)
= -492 + 150 (apply the distributive property)
= -342 (perform the multiplication and addition/subtraction)
So the correct process of solving −4(3+120)+150 is -342.