Which of the following is an equivalent expression to 1/2(9−7^0)+(−29)0? (1 point)
1/2(2)+1
1/2(9−0)+0
1/2(9−1)−1
1/2(9−1)+1
The correct equivalent expression is 1/2(9−1)+1.
To find the equivalent expression, we need to simplify the given expression step by step.
First, let's solve the exponent: 7^0 = 1.
Now let's substitute the value back into the expression: 1/2(9−1)+(−29)0.
Next, let's simplify the multiplication within the parentheses: 1/2(8) + (−29)0.
Now let's solve the addition within the parentheses: 1/2(8) + 0.
Multiplication is next: 4 + 0 = 4.
Therefore, the equivalent expression is 4.