Apply the Zero Power Rule to create an equivalent expression to
(−40)^0 + 1/2(11−32^0)
(-40)^0 +1/2 (11 - 32^0) = _ + 1/2 (_ - _) fill in the blanks correctly or else
(-40)^0 = 1 and 32^0 = 1, so the equivalent expression becomes:
1 + 1/2(11 - 1)
Using the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Thus, we can simplify our expression as follows:
(-40)^0 + 1/2(11 - 32^0) = 1 + 1/2(11 - 1)
Simplifying further:
= 1 + 1/2(10)
Now we can fill in the blanks:
(-40)^0 + 1/2(11 - 32^0) = 1 + 1/2(10) = 1 + 1/2(10 - 0) = 1 + 1/2(10 - 0)
To apply the Zero Power Rule, we need to understand that any non-zero number raised to the power of zero is equal to 1. So, let's use this rule to simplify the expression.
In the given expression, we have:
(-40)^0 + 1/2(11 - 32^0)
Since (-40) raised to the power of zero is equal to 1, we can replace (-40)^0 with 1:
1 + 1/2(11 - 32^0)
Now, let's simplify the expression inside parentheses first:
1 + 1/2(11 - 1)
Since 32^0 is also equal to 1, we can replace it in the expression:
1 + 1/2(11 - 1)
Next, we simplify the subtraction inside the parentheses:
1 + 1/2(10)
Now, we can simplify the multiplication by multiplying 1/2 with 10:
1 + 5
Finally, adding 1 and 5 together:
1 + 5 = 6
Therefore, the simplified form of the given expression is:
(−40)^0 + 1/2(11 − 32^0) = 6