To apply the Zero Power Rule, we first need to recognize that any non-zero number raised to the power of 0 is equal to 1. This includes \((-33)^0\) and \(27^0\):
- \((-33)^0 = 1\)
- \(27^0 = 1\)
Now, substitute these values into the expression:
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For \(9 \cdot (-33)^0\): \[ 9 \cdot (-33)^0 = 9 \cdot 1 = 9 \]
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For \(3/2(8 - 27^0)\): \[ 3/2(8 - 27^0) = 3/2(8 - 1) = 3/2 \cdot 7 \]
Now we can rewrite the expression:
\[ 9 \cdot 1 + \frac{3}{2}(8 - 1) \]
So, filling in the blanks gives us:
9⋅(−33)^0 + 3/2(8−27^0) = 9 ⋅ 1 + 3/2 ( 8 – 1 )