Which of the following is an equivalent expression to 12(9−70)+(−29)0 ? (1 point) Responses
To find an equivalent expression to 12(9−70)+(−29)0, we need to apply the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Given the expression:
12(9−70) + (−29)0
First, solve inside the parentheses and apply the zero property of multiplication:
9 - 70 = -61
(−29)0 = 0 (anything multiplied by zero is zero)
The expression then reduces to:
12 * (−61) + 0
Next, multiply 12 by -61:
12 * -61 = -732
And finally, add the result to 0 (which doesn't change the value):
-732 + 0 = -732
Therefore, the equivalent expression is:
-732