Question

Apply the Zero Power Rule to create an equivalent expression to
9. （-33）0 +3（8-270）. （2 points）

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to one. Therefore, we can apply this rule to simplify the expression \(9 \cdot (-33)^0 + 3 \cdot (8 - 270)\).

First, let's simplify each part:

1. \((-33)^0 = 1\) (using the Zero Power Rule)

This gives us:
\[
9 \cdot (-33)^0 = 9 \cdot 1 = 9
\]

2. Now simplify the expression inside the parentheses:
\[
8 - 270 = -262
\]

3. Now multiply \(3\) by \(-262\):
\[
3 \cdot (-262) = -786
\]

Finally, we can combine the two parts:
\[
9 + (-786) = 9 - 786 = -777
\]

Thus, the equivalent expression is:
\[
\boxed{-777}
\]