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To apply the Zero Power Rule, we know that any non-zero number raised to the zero power equals 1. Thus, we can simplify the expression as follows:
1. \( (-33)^0 = 1 \)
2. \( 27^0 = 1 \)
Now we simplify the original expression step-by-step:
Given expression:
\[ 9 \cdot (-33)^0 + \frac{3}{2} (8 - 27^0) \]
Substituting in the values we found:
\[ 9 \cdot 1 + \frac{3}{2} (8 - 1) \]
This simplifies to:
\[ 9 + \frac{3}{2} (7) \]
Now, we fill in the blanks.
1. The final equivalent expression which maintains the form would be:
- The first term is: **9**
- The second term in parentheses: **1**
- The third term in parentheses: **8**
- The fourth term: **1**
Filling the blanks gives:
9⋅(−33)^0 + 3/2(8−27^0) = 9 ⋅ 1 + 3/2(8 - 1)
So, the final answer is:
9 ⋅ 1 + 3/2(8 - 1)