Which of the following is an equivalent expression to 1/2 * (9 - 7 ^ 0) + (- 29) ^ 0 * 7 (1 point) 1/2 * (9 - 1) - 1; 1/2 * (9 - 1) + 1; 1/2 * (9 + 0) + 0; 1/2 * (2) + 1
1/2 * (9 - 7 ^ 0) + (- 29) ^ 0 * 7 is equal to 1/2 * (9 - 1) - 1
To find the equivalent expression, let's simplify each part step by step.
1/2 * (9 - 7^0) + (-29)^0 * 7
First, simplify the exponentiation: 7^0 and (-29)^0 both equal 1.
1/2 * (9 - 1) + 1 * 7
Next, perform the subtraction: 9 - 1 = 8.
1/2 * 8 + 1 * 7
Then, perform the multiplication: 1/2 * 8 = 4.
4 + 7
Finally, perform the addition: 4 + 7 = 11.
Therefore, the equivalent expression is 11.
To find the equivalent expression to 1/2 * (9 - 7 ^ 0) + (- 29) ^ 0 * 7, we need to simplify the given expression step by step.
First, we know that any number raised to the power of 0 is always equal to 1. So, (-29) ^ 0 equals 1.
Now, let's simplify the expression further.
1/2 * (9 - 7 ^ 0) + (- 29) ^ 0 * 7
= 1/2 * (9 - 1) + 1 * 7
= 1/2 * 8 + 7
= 4 + 7
= 11
Therefore, the equivalent expression to 1/2 * (9 - 7 ^ 0) + (- 29) ^ 0 * 7 is 11.
Now, let's compare this with the given options:
1/2 * (9 - 1) - 1 = 1/2 * 8 - 1 = 4 - 1 = 3 (not equal to 11)
1/2 * (9 - 1) + 1 = 1/2 * 8 + 1 = 4 + 1 = 5 (not equal to 11)
1/2 * (9 + 0) + 0 = 1/2 * 9 + 0 = 4.5 + 0 = 4.5 (not equal to 11)
1/2 * (2) + 1 = 1/2 * 2 + 1 = 1 + 1 = 2 (not equal to 11)
Hence, none of the given options is equivalent to the expression 1/2 * (9 - 7 ^ 0) + (- 29) ^ 0 * 7. The correct answer is not provided as one of the given options.