which lf the following is an equivalent expression to 1/2 (9-7^0)+(-29)^0?
To solve this problem, we first need to evaluate the exponents:
- Any non-zero number raised to the power of 0 is equal to 1. Therefore, 7^0 = 1.
- Similarly, (-29)^0 is also equal to 1.
Now, we substitute the evaluated exponents back into the expression:
1/2 (9 - 1) + 1
Next, simplify the expression within the parentheses:
1/2 (8) + 1
Multiply 1/2 by 8:
4 + 1
Finally, add the terms together:
5
Therefore, the equivalent expression to 1/2 (9-7^0)+(-29)^0 is 5.
To find the equivalent expression, let's break down and simplify each term step-by-step:
1. Simplify exponentiation:
- Any number raised to the power of 0 equals 1.
- So, we have: 7^0 = 1 and (-29)^0 = 1.
- Now the expression becomes: 1/2(9 - 1) + 1.
2. Simplify the subtraction inside parentheses:
- 9 - 1 = 8.
- Now the expression becomes: 1/2(8) + 1.
3. Simplify the multiplication:
- Multiply 1/2 by 8: 1/2 * 8 = 4.
- Now the expression becomes: 4 + 1.
4. Finally, simplify the addition:
- 4 + 1 = 5.
So, the equivalent expression to 1/2(9-7^0)+(-29)^0 is 5.
To find an equivalent expression to 1/2 (9-7^0) + (-29)^0, let's simplify each part of the expression step by step:
Step 1: Evaluate 7^0
Any number (except 0) raised to the power of 0 is equal to 1. Therefore, 7^0 equals 1.
Step 2: Simplify 9-7^0
Replacing the value of 7^0, we have 9 - 1, which equals 8.
Step 3: Evaluate (-29)^0
Any non-zero number raised to the power of 0 is equal to 1. Therefore, (-29)^0 equals 1.
Step 4: Substitute the simplified values back into the expression
Now, let's substitute the results from Steps 2 and 3 back into the original expression:
1/2 (9-7^0) + (-29)^0
= 1/2 (8) + 1
= 4 + 1
= 5
So, an equivalent expression to 1/2 (9-7^0) + (-29)^0 is 5.