Apply the Zero Power Rule to create an equivalent expression to

Question

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: \[ \boxed{-777} \]