Which of the following is an equivalent expression to 1/2(9-7^0) + (-29)^0
To simplify the expression, we need to simplify the expressions inside the parentheses first.
First, let's simplify 7^0. Any number raised to the power of 0 is equal to 1. So, 7^0 = 1.
Next, let's simplify (-29)^0. Any number raised to the power of 0 is also equal to 1. So, (-29)^0 = 1.
Now, our expression becomes 1/2(9 - 1) + 1.
Inside the parentheses, 9 - 1 = 8.
So, the expression simplifies to 1/2(8) + 1.
1/2(8) is equal to 4.
Therefore, the equivalent expression is 4 + 1.
This simplifies to 5.
To find an equivalent expression, let's simplify each term step-by-step.
Step 1: Simplify 7^0
Anything raised to the power of 0 is equal to 1.
So, 7^0 = 1.
Step 2: Simplify (-29)^0
Similar to step 1, any number raised to the power of 0 is equal to 1.
So, (-29)^0 = 1.
Step 3: Simplify 9 - 1
Subtracting 1 from 9 gives us 8.
So, 9 - 1 = 8.
Step 4: Simplify 1/2(8)
When a number is multiplied by 1/2, it can be simplified by dividing the number by 2.
So, 1/2(8) = 1/2 * 8 = 4.
Step 5: Simplify 4 + 1
Adding 4 and 1 gives us 5.
So, 4 + 1 = 5.
Therefore, the equivalent expression to 1/2(9-7^0) + (-29)^0 is 5.
To find an equivalent expression, we need to simplify the given expression step by step.
Let's start by calculating the exponent. Any number raised to the power of 0 is equal to 1. So, we have:
(-7)^0 = 1
Now, let's simplify the expression further:
1/2(9-1) + 1
Within the parentheses, we have 9 - 1, which equals 8.
Now we can substitute the simplified expression into the original expression:
1/2(8) + 1
Multiplying 1/2 by 8, we get:
8/2 + 1
Which simplifies to:
4 + 1
Adding the two terms together, we find:
5
Therefore, an equivalent expression to 1/2(9-7^0) + (-29)^0 is 5.