To simplify the expression \( 9 \cdot (-33)^0 + 32(8 - 270) \) using the Zero Power Rule, we first need to apply the rule: any non-zero number raised to the power of zero is equal to 1.
-
Calculate \( (-33)^0 \): \[ (-33)^0 = 1 \]
-
Substitute \( (-33)^0 \) with 1 in the expression: \[ 9 \cdot (-33)^0 + 32(8 - 270) = 9 \cdot 1 + 32(8 - 270) \]
-
Simplify \( 9 \cdot 1 \): \[ 9 + 32(8 - 270) \]
-
Now, calculate \( 8 - 270 \): \[ 8 - 270 = -262 \]
-
Substitute \( -262 \) back into the expression: \[ 9 + 32(-262) \]
-
Finally, the expression simplifies to: \[ 9 - 32 \cdot 262 \]
Writing it in the desired format: \[ 9 \cdot (1) + 32( -262) \]
So, the equivalent expression is: \[ 9 + 32( -262) \]