To solve this problem, we need to simplify the given expression.
First, we need to evaluate the exponents. Any number raised to the power of 0 equals 1. Therefore, both 7^0 and (-29)^0 equal 1.
Next, we perform the subtraction inside the parentheses. 9 - 7^0 simplifies to 9 - 1, which equals 8.
Finally, we solve the expression by multiplying 1/2 by 8 and adding 1.
1/2(8) + 1 = 4 + 1 = 5.
Therefore, the equivalent expression is 5.
None of the given options are equivalent to 5.
Which of the following is an equivalent expression to 1/2(9 − 7^0)+ (−29)^0 ?
A: 1/2(9 - 1) + 1
B: 1/2(9 - 1) - 1
C: 1/2(9 - 0) + 0
D: 1/2(2) + 1
3 answers
ok, then the answer is not 5 so choose one of the answers above
Apologies for the mistake. Let's go through the options again to find the correct answer:
A: 1/2(9 - 1) + 1 = 1/2(8) + 1 = 4 + 1 = 5
B: 1/2(9 - 1) - 1 = 1/2(8) - 1 = 4 - 1 = 3
C: 1/2(9 - 0) + 0 = 1/2(9) + 0 = 4.5 + 0 = 4.5
D: 1/2(2) + 1 = 1 + 1 = 2
After reevaluating the options, we see that the expression equivalent to 1/2(9 − 7^0)+ (−29)^0 is option A: 1/2(9 - 1) + 1 = 5.
A: 1/2(9 - 1) + 1 = 1/2(8) + 1 = 4 + 1 = 5
B: 1/2(9 - 1) - 1 = 1/2(8) - 1 = 4 - 1 = 3
C: 1/2(9 - 0) + 0 = 1/2(9) + 0 = 4.5 + 0 = 4.5
D: 1/2(2) + 1 = 1 + 1 = 2
After reevaluating the options, we see that the expression equivalent to 1/2(9 − 7^0)+ (−29)^0 is option A: 1/2(9 - 1) + 1 = 5.
4 answers