Apply the zero power rule to create an equivalent expression to (-40)^0 + 1/2(11-32^0)
By applying the zero power rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, we can simplify the expression as follows:
(-40)^0 + 1/2(11-32^0)
Since (-40)^0 equals 1, we can replace it in the expression:
1 + 1/2(11-32^0)
Next, we simplify 32^0. Any non-zero number raised to the power of 0 is equal to 1:
1 + 1/2(11-1)
1 + 1/2(10)
Now, we can evaluate the expression inside the parentheses:
1 + 1/2(10)
1 + 1/2 * 10
1 + 5
Finally, we add the numbers:
1 + 5 = 6
Therefore, the equivalent expression is 6.
To apply the zero power rule, any non-zero number raised to the power of zero is equal to 1.
Step 1: Simplify (-40)^0
Since (-40) raised to the power of zero is equal to 1, we have:
(-40)^0 = 1
Step 2: Simplify 32^0
Again, applying the zero power rule, any non-zero number raised to the power of zero is equal to 1. So, we have:
32^0 = 1
Step 3: Apply the simplifications to the given expression.
The given expression is:
(-40)^0 + 1/2(11-32^0)
Replacing the simplified values, we get:
1 + 1/2(11 - 1)
Step 4: Simplify the expression inside the parentheses.
11 - 1 = 10
Step 5: Simplify the division.
1/2 * 10 = 5
Step 6: Final expression.
Now, we can simplify the expression further:
1 + 5 = 6
Therefore, the equivalent expression to (-40)^0 + 1/2(11-32^0) is 6.
To apply the zero power rule, we need to understand that any number (except zero) raised to the power of zero is equal to 1. So, let's break down the given expression step by step:
1. Starting with (-40)^0: By applying the zero power rule, we know that any number raised to the power of zero is 1. Therefore, (-40)^0 = 1.
2. Next, let's simplify the second part of the expression, 1/2(11-32^0): We need to apply the zero power rule before proceeding with the calculations. 32^0 is equal to 1. So, 1/2(11-32^0) becomes 1/2(11-1).
3. Continuing with 1/2(11-1), we simplify the expression within the parentheses first: 11-1 equals 10.
4. Now, we have 1/2(10). To evaluate the expression further, we multiply 1/2 by 10. Multiplying a number by 1/2 is the same as dividing it by 2. Therefore, 1/2(10) equals 10/2 which is equal to 5.
5. Finally, we add the results from step 1 and step 4: 1 + 5 equals 6.
Therefore, the equivalent expression to (-40)^0 + 1/2(11-32^0) is 6.