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(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0

12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1

12(9−1)+1

None of the above expressions are equivalent to 12(9−70)+(−29)0.

can you try and find a resolution?

Certainly! Let's simplify the given expression step by step:

12(9−70)+(−29)0

First, we can simplify within the parentheses:

12(-61) + (-29)0

Next, we can multiply:

-732 + 0

Finally, we can add:

-732

Therefore, the simplified equivalent expression is -732.

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(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0

12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1

12(9−1)+1

Apologies for the previous mistake. Let's evaluate the given expression step by step:

12(9−70)+(−29)0

First, simplify within the parentheses:

12(-61)+(−29)0

Next, multiply:

-732+(−29)0

Since any number multiplied by 0 is 0, we can simplify further:

-732+0

Finally, since adding 0 to any number does not change the value:

-732

Therefore, the correct equivalent expression is -732.

can you do it in the corecct form?

Apologies for the confusion. Let's simplify the expression correctly:

12(9−70)+(−29)0

First, simplify within the parentheses:

12(-61) + (-29)0

Next, multiply:

-732 + 0

Finally, adding 0 to any number does not change its value:

-732

Therefore, the equivalent expression is -732.

dont simplify

I apologize for the confusion earlier. To find the equivalent expression without simplifying, we can rewrite the given expression as:

12(9-70) + (-29)0

Next, we know that any number multiplied by 0 is equal to 0, so the second term (-29)0 simplifies to 0:

12(9-70) + 0

Thus, the equivalent expression without simplifying is:

12(9-70) + 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(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
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=−4⋅5=−20