Question

Apply the Zero Power Rule to create an equivalent expression by filling in the blanks
(−40)^0 + 1/2(11−32^0)

(2 points)
(−40)^0 + 1/2(11−32^0) = _+1/2(_ −_)

Answer 1

According to the Zero Power Rule, any non-zero number raised to the power of zero equals one. Therefore, we can simplify the expression step by step.

1. Simplify \((-40)^0\):
\[
(-40)^0 = 1
\]

2. Simplify \(32^0\):
\[
32^0 = 1
\]

Now, substituting these values into the expression:

\[
(-40)^0 + \frac{1}{2}(11 - 32^0) = 1 + \frac{1}{2}(11 - 1)
\]

Now, we simplify the parentheses:

\[
11 - 1 = 10
\]

So now, we can write:

\[
1 + \frac{1}{2}(10)
\]

This means we can fill in the blanks:

\[
(-40)^0 + \frac{1}{2}(11 - 32^0) = 1 + \frac{1}{2}(11 - 1)
\]

Now, filling in the blanks as:

\[
\_\_\_ + \frac{1}{2}(\_\_ - \_\_) = 1 + \frac{1}{2}(11 - 1)
\]

The filled expression becomes:

\[
1 + \frac{1}{2}(11 - 1)
\]

So, the final filled form is:

**Answer: 1 + 1/2(11 - 1)**