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(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
The correct answer is 12(9−1)+1.
To find the equivalent expression, we need to simplify the given expression step-by-step.
Given expression: 12(9−70)+(−29)0
Step 1: Simplify the expression inside the parentheses first.
9 - 70 = -61
Step 2: Apply multiplication to the terms outside the parentheses.
12 * (-61) = -732
Step 3: Simplify the terms involving multiplication by 0.
(-29) * 0 = 0
Step 4: Add the simplified terms.
-732 + 0 = -732
Therefore, the equivalent expression is -732.