Question

Apply the Zero Power Rule to create an equivalent expression to

(−40)0 + 12(11−320)


(2 points)
(−40)0 + 12(11−320) =

+12
(
−

)

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. Therefore, for the expression \((-40)^0\):

\[
(-40)^0 = 1
\]

Now we can rewrite the entire expression:

\[
(-40)^0 + 12(11 - 320) = 1 + 12(11 - 320)
\]

Next, we calculate \(11 - 320\):

\[
11 - 320 = -309
\]

Now substituting that back into the expression gives us:

\[
1 + 12(-309)
\]

So the equivalent expression is:

\[
1 + 12(-309)
\]

We can write it as:

\[
1 + 12 \cdot (-309)
\]

Thus, the final equivalent expression is:

\[
1 + 12(-309)
\]